# Derivatives of Real-Valued Functions (Lecture 3) by GC Ezeamama PDF free download

GC Ezeamama Derivatives of Real-Valued Functions (Lecture 3) PDF, was published in 2021 and uploaded for 100-level Science and Technology students of Nnamdi Azikiwe University (UNIZIK, NAU), offering MAT102 course. This ebook can be downloaded for FREE online on this page.

Derivatives of Real-Valued Functions (Lecture 3) ebook can be used to learn differentiation, constant rule, constant multiple rule, power rule, sum rule, difference rule, product rule, quotient rule, chain rule, higher order derivatives.

Technical Details
Updated at:
Size: 221.98 KB

## Books related to Derivatives of Real-Valued Functions (Lecture 3)

Author: GC Ezeamama

School: Nnamdi Azikiwe University

Department: Science and Technology

Course Code: MAT102

Topics: differentiation, L’Hopital’s Rule, Maxima, minima, curve sketching, Implicit Differentiation

Author: Ogunfolu Bamidele

Department: Science and Technology

Course Code: MAT101

Topics: Differentiation, Rules of differentiation, standard derivatives, limiting values, implicit functions differentiation, higher derivatives, approximation principle, rate of change

Author: GC Ezeamama

School: Nnamdi Azikiwe University

Department: Science and Technology

Course Code: MAT102

Topics: Integral, Riemann Sum, Indefinite Integral, Calculus

Author: Frank Ayres, Elliott Mendelson

School: Nnamdi Azikiwe University

Department: Science and Technology

Course Code: MAT231

Topics: Calculus, linear coordinate systems, absolute value, inequalities, rectangular coordinate systems, lines, circles, parabolas, ellipses, hyperbolas, conic sections, functions, limits, continuity, continuous function, derivative, delta notation, chain rule, inverse functions, implicit differentiation, tangent lines, normal lines, critical numbers, relative maximum relative minimum, cure sketching, concavity, symmetry, points of inflection, vertical asymptotes, trigonometry, trigonometric functions, inverse trigonometric functions, rectilinear motion, circular motion, differentials, Newton's method, antiderivatives, definite integral, sigma notation, natural logarithm, exponential functions, logarithmic functions, L'hopital's rule, exponential growth, decay, half-life, integration by parts, trigonometric integrands, trigonometric substitutions, improper integrals, parametric equations, curvature, plane vectors, curvilinear motion, polar coordinates, infinite sequences, infinite series, geometric series, power series, uniform convergence, Taylor's series, Maclaurin series, partial derivatives, total differential, differentiability, chain rules, space vectors, directional derivatives, vector differentiation, vector integration, double integrals, iterated integrals, centroids, triple integrals, Separable Differential Equations, Homogeneous Functions, Integrating Factors, Second-Order Equations

Author: GC Ezeamama

School: Nnamdi Azikiwe University

Department: Science and Technology

Course Code: MAT102

Topics: functional value, inverse functions, implicit functions, power functions, polynomial functions, rational functions, identity functions, constant functions, exponential functions, Logarithmic Functions, square root, Trigonometric Functions

Author: GeorgeThomas, Joel Hass, Christopher Heil, Maurice Weir

School: University of Ilorin

Department: Science and Technology

Course Code: MAT112

Topics: Calculus, Trigonometric Functions, functions, limits, continuity, One-Sided Limits, Differentiation Rules, Derivatives, chain rule, implict differentiation, related rates, linearization, differentials, Mean Value Theorem, integrals, Monotonic Functions, First Derivative Test, Concavity, Curve Sketching, Applied Optimization, antiderivatives, Sigma Notation, limits of Finite Sums, Definite integral, Transcendental Functions, inverse functions, natural logarithms, exponential functions, exponential change, seperable differential equation, Indeterminate Form, L’Hôpital’s Rule, Inverse Trigonometric Functions, Hyperbolic Functions, Integration by Parts, integration, trigonometric integrals, trigonometric substitution, Integral Tables, Computer Algebra Systems, probability, numerical integration, improper integrals, probability, First-Order Differential Equations, Slope Fields, Euler’s Method, First-Order Linear Equations, Infinite Sequences, infinite Series, integral test, comparison test, absolute convergence, power series, alternating series, Taylor series, Maclaurin series, Parametric Equations, Polar Coordinates, Conic Sections, vector, Partial Derivatives, Lagrange Multipliers, Multiple Integrals, vector fields, Path Independence, Conservative Fields, Potential Functions, Green’s Theorem, Surface Integrals, Stokes Theorem, Divergence Theorem

Author: Elka Block, Frank Purcell

School: University of Ilorin

Department: Science and Technology

Course Code: MAT112

Topics: Calculus, Trigonometric Functions, functions, limits, continuity, One-Sided Limits, Differentiation Rules, Derivatives, chain rule, implict differentiation, related rates, linearization, differentials, Mean Value Theorem, integrals, Monotonic Functions, First Derivative Test, Concavity, Curve Sketching, Applied Optimization, antiderivatives, Sigma Notation, limits of Finite Sums, Definite integral, Transcendental Functions, inverse functions, natural logarithms, exponential functions, exponential change, seperable differential equation, Indeterminate Form, L’Hôpital’s Rule, Inverse Trigonometric Functions, Hyperbolic Functions, Integration by Parts, integration, trigonometric integrals, trigonometric substitution, Integral Tables, Computer Algebra Systems, probability, numerical integration, improper integrals, probability, First-Order Differential Equations, Slope Fields, Euler’s Method, First-Order Linear Equations, Infinite Sequences, infinite Series, integral test, comparison test, absolute convergence, power series, alternating series, Taylor series, Maclaurin series, Parametric Equations, Polar Coordinates, Conic Sections, vector, Partial Derivatives, Lagrange Multipliers, Multiple Integrals, vector fields, Path Independence, Conservative Fields, Potential Functions, Green’s Theorem, Surface Integrals, Stokes Theorem, Divergence Theorem

Author: Joel Hass, Christopher Heil, Przemyslaw Bogacki, Maurice Weir, George Thomas

School: Federal University of Agriculture, Abeokuta

Department: Science and Technology

Course Code: MTS241

Topics: functions, combining functions, trigonometric functions, exponential functions, inverse functions, logarithms, limit, continuity, derivatives, differentiation rules, chain rule, implicit differentiation, inverse trigonometric functions, related rates, linearization, differentials, mean value theorem, monotonic functions, applied optimization, integrals, transcendental functions, hyperbolic functions, integration, trigonometric integrals, trigonometric substitution, numerical integration, improper integrals, infinite sequences, infinite series, integral test, comparison test, absolute convergence, power series, Taylor series, Maclurin series, parametric equations, polar coordinates, vectors, dot product, cross product, vector-valued functions, partial derivatives, saddle points, multiple integrals, vector fields, Euler equations

Author: GC Ezeamama

School: Nnamdi Azikiwe University

Department: Science and Technology

Course Code: MAT102

Topics: Limits, Continuous Functions, continuity, left limit, right limit

Author: William Trench

School: Federal University of Technology, Owerri

Department: Science and Technology

Course Code: MTH203

Topics: Differential Equations, first order equations, Linear First Order Equations, separable equations, exact equations, integrating factors, numerical methods, Euler's method, Improved Euler Method, Runge-Kutta Method, Autonomous Second Order Equations, Linear Second Order Equations, Homogeneous Linear Equations, Constant Coefficient Homogeneous Equations, Non homogeneous Linear Equations, power series, Laplace transforms, inverse Laplace transform, initial value problem, unit step function, convolution, Linear Higher Order Equations, Linear Systems of Differential Equations, Constant Coefficient Homogeneous Systems

Author: William Trench

School: Federal University of Technology, Owerri

Department: Science and Technology

Course Code: MTH203

Topics: Differential Equations, first order equations, Linear First Order Equations, separable equations, exact equations, integrating factors, numerical methods, Euler's method, Improved Euler Method, Runge-Kutta Method, Autonomous Second Order Equations, Linear Second Order Equations, Homogeneous Linear Equations, Constant Coefficient Homogeneous Equations, Non homogeneous Linear Equations, power series, Laplace transforms, inverse Laplace transform, initial value problem, unit step function, convolution, Linear Higher Order Equations, Linear Systems of Differential Equations, Constant Coefficient Homogeneous Systems

Author: Richard Bronson, Gabriel Costa

Department: Science and Technology

Course Code: MAT241

Topics: Differential Equations, Modeling, Qualitative Methods, First-Order Differential Equations, Separable First-Order Differential Equations, Exact First-Order Differential Equations, Linear First-Order Differential Equations, Linear Differential Equations, Second-Order Linear Homogeneous Differential, nth-Order Linear Homogeneous Differential Equations, Method of Undetermined Coefficients, Variation of Parameters, Initial-Value Problems, Laplace Transform, matricies, Inverse Laplace Transforms, Convolutions, Unit Step Function, power series, Series Solutions, Classical Differential Equations, Gamma Functions, Bessel Functions, Partial Differentiall Equations, Second-Order Boundary-Value Problems, Eigenfunction Expansions, Difference Equations

Author: CI Okeke, Martha Oruku, Oba Adenuga

School: National Open University of Nigeria

Department: Administration, Social and Management science

Course Code: MKT827

Topics: Product Planning, Product Development, Organizational Products, Product Line, Product Mix, Product Life Cycle, New Product Development, New Product Idea Generation, New Product Idea Screening, New Product, Product Development, New Product Positioning, Packaging, Marketing Strategy, Product Management, Labeling, Pre-Test Market Models, Product Rollout Commercialization, Why New Products Fail, branding

Author: MTS FUNAAB

School: Federal University of Agriculture, Abeokuta

Department: Science and Technology

Course Code: MTS102

Topics: Differential calculus, limit, gradient, constant multiple derivative, derivative, product rule, chain rule, quotient rule

Author: George Thomas, Ross Finney

School: Federal University of Agriculture, Abeokuta

Department: Science and Technology

Course Code: MTS101

Topics: Calculus, Analytic Geometry, real numbers, real line, coordinates, functions, shifting graphs, trignometric functions, rates of change, limits, continuity, tangent lines, derivative of a function, differentiation rules, rates of change, chain rule, derivatives, implicit differentiation, rational exponents, extreme values of functions, mean value theorem, first derivative test, optimization, linearization, differentials, Newton's method, integration, indefinite integrals, differential equations, initial value problems, mathematical modelling, Riemann sums, definite integrals, mean value theorem, fundamental theorem, numerical integration, cylindrical shells, application of integrals, work, fluid pressure, inverse functions, natural logarithms, transcendental functions, L'Hopital's rule, inverse trignometric functions, hyperbolic functions, first order differential equations, Euler's numerical method, Integration formulas, integration by parts, integral tables, infinite series, power series, Maclaurin series, Taylor series, conic sections

Author: Siloko Israel Uzuazor

School: Edo University

Department: Science and Technology

Course Code: MTH211

Topics: Mathematical Methods, Real Valued Function, differentiation, Implicit Differentiation, Parametric Equation, Higher Derivatives

Author: O'kriso

School: Federal University of Technology, Owerri

Department: Science and Technology

Course Code: MTH201

Topics: Mathematical methods, domain, range, limits, continuity, partial derivatives, chain rule, gradient, jacobian, implicit differentiation, normal derivative, total differentiation, exact equations, laplace equation, harmonic functions, arbitrary functions, extreme value problems, infinite sequence, infinite series, convergence, divergence, Cauchy ratio test

School: Federal University of Agriculture, Abeokuta

Department: Science and Technology

Course Code: MTS101

Topics: Limits, Continuity, Calculus, differentiation, Transcendental Functions, Integration, Integration techniques, conics, parametric curves, polar curves, sequence, series, power series, vectors, Coordinate Geometry, vector functions, vector curves, partial differentiation, partial derivatives, multiple integration, vector fields, vector calculus, Differential Forms, Exterior Calculus, Ordinary Differential Equations

School: Federal University of Technology, Owerri

Department: Science and Technology

Course Code: MTH203

Topics: First Order Differential Equations, Laplace Transform, Second Order Constant Coefficient Linear Differential Equations, Linear Constant Coefficient Differential Equations, Second Order Linear Differential Equations, Discontinuous Functions, Power Series

Author: Darrel Hankerson, Greg Harris, Peter Johnson

School: National Open University of Nigeria

Department: Science and Technology

Course Code: CIT891

Topics: information theory, data compression, Elementary Probability, Discrete memoryless channels, channels, channel capacity, coding theory, Lossless Data Compression, data compression, Arithmetic Coding, higher-order modeling, Higher-order arithmetic coding, Gallager’s method, Knuth’s algorithm, Dictionary Methods, Transform Methods, Image Compression

### Past Questions related to Derivatives of Real-Valued Functions (Lecture 3)

Year: 2019

School: Nnamdi Azikiwe University

Department: Science and Technology

Course Code: MAT102

Topics: Set, limit, logarithm, differentiation, gradient, integration, domain, range

Year: 2017

School: University of Ilorin

Department: Science and Technology

Course Code: CHM101

Topics: reaction mechanism, zero order reaction, first order reaction, second-order reaction, electrolysis, electrochemistry, fuel cell, Daniel cell

Year: 2020

School: University of Benin

Department: Science and Technology

Course Code: MTH112

Topics: Function limit, continuity, differentiation, product rule theorem

Year: 2022

School: University of Ilorin

Department: Engineering

Course Code: CHE264

Topics: Limits, Continuity, differentiation, linear first order differential equations, partial and total derivatives of composite functions, vector algebra, Vector calculus, Directional derivatives, Cauchy-Riemann equations, initial value problems, magnification, rotation, harmonic functions, ordinary differential equations, Wronskian, harmonic function, Laurent series, Green's theorem

Year: 2018

Department: Science and Technology

Course Code: PHY115

Topics: temperature, work, power, energy, velocity, potential difference, heater, steam

Year: 2020

School: University of Ilorin

Department: Science and Technology

Course Code: CHM101

Topics: electrochemistry, electricity, standard EMF, voltaic cell, equilibrium constant

Year: 2017

School: University of Ilorin

Department: Science and Technology

Course Code: MAT112

Topics: Integration, differentiation

Year: 2016

School: University of Ilorin

Department: Science and Technology

Course Code: MAT329

Topics: Complex-valued function, Milne-Thompson, analytic function, Cauchy-Reimann equation, continuity, differentiation, Integration

Year: 2014

School: University of Nigeria, Nsukka

Department: Science and Technology

Course Code: MTH121

Topics: Limit, calculus, domain, range, differentiation, intergration

Year: 2013

School: University of Ilorin

Department: Science and Technology

Course Code: MAT112

Topics: Functions, continuity, Limits of Functions, Differentiation, Maxima, minima, Point of inflexion, Taylors series, Maclaurin series

Year: 2019

School: Federal University of Agriculture, Abeokuta

Department: Science and Technology

Course Code: MTS102

Topics: limits, Calculus, trignometry, domain, range, continuity, differentiation, integration

Year: 2019

School: Federal University of Agriculture, Abeokuta

Department: Science and Technology

Course Code: MTS101, MTS102

Topics: Set theory, real numbers, complex numbers, rational functions, partial fraction, binomial expansion, sequence, series, matrices, Trigonometry, Differentiation, integration

Year: 2020

School: University of Nigeria, Nsukka

Department: Science and Technology

Course Code: PHY111

Topics: Dimensions, system of measurement, kinematics, vectors, Newton's laws, linear dynamics, work, energy, power, conservation of momentum, simple harmonic motion, fluid mechanics

Year: 2017