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Calculus 1 Course: A Self-Paced High-Quality Study Guide for Differentiation – Complete preparation with Tasks & Quizzes

What you will learn

The Power Rule

The Product Rule

The Quotient Rule

The Chain Rule

Differentiation of Trig Functions, Inverse Trig Function and Hyperbolic Trig Functions

Derivatives of Exponential Functions

Derivatives of Logarithmic Functions

Implicit Differentiation

Logarithmic Differentiation

Differentiation of Parametric Functions

Higher order Derivatives

Description

Are you struggling to understand the topic Differentiation?

If you facing difficulty in solving Calculus questions and feel that you need to strengthen your basics in Differentiation, then this course is for you.

This course can make you perfect in writing the derivative of any given function.

It is a self-study course designed to get the student mastery over differentiation. It will teach you all the rules of differentiation step by step in small video lectures and give you command over differentiation in a few hours.

Note that this course only teaches how to find derivatives of a given function and not the Application of Derivatives.

There are separate lectures in each section on Trig functions and one can leave these lectures if not required in their curriculum.

This course covers

-Power Rule

-Product Rule

-Quotient Rule

-Chain Rule

-Differentiation of Trig Functions & inverse Trig Function and Hyperbolic Trig Functions

-Derivatives of Exponential Functions

-Derivatives of Logarithmic Functions


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-Implicit Differentiation

-Logarithmic Differentiation

-Differentiation of Parametric Functions

-Higher-Order Derivatives

Why study Differentiation?

Differentiation is the essence of Calculus which is a gateway to nearly all fields of higher Mathematics. The essential idea behind Differentiation is to see how a small change in one variable will change a related variable. You cannot do Engineering, Modern Science, Biology, Economics, Business Mathematics, Statistics, etc. without having command over Topic Differentiation. This course is going to help you build a sufficiently firm grounding in the basics of the Differentiation topics at your own time and space and enable you to pursue your learning or career goals.

With this course you’ll also get:

– Full lifetime access to the course

– Complete support for any question, clarification or difficulty you might face on the topic

– Udemy Certificate of Completion available for download

– 30-day money-back guarantee

Feel free to contact me with any questions or clarifications you might have.

I look forward to seeing you in the course! 🙂

English
language

Content

Introduction

Introduction

Fundamental Rules for Differentiation

Power Rule
Practice Problems Part 1
Practice Problems Part 2
Power Rule
Product Rule
Product Rule
Quotient Rule
Quotient Rule
Chain Rule
Chain Rule

Differentiation of Trigonometric Functions

Derivatives of Trigonometric Functions
Derivatives of Trigonometric functions
Product Rule with Trigonometric Functions
Product Rule with Trigonometric Functions
Quotient Rule with Trigonometric Functions
Quotient Rule with Trigonometric Functions
Chain Rule with Trigonometric Functions Part 1
Chain Rule with Trigonometric Functions Part 2
Chain Rule with Trigonometric Functions Part 3
Chain Rule with Trigonometric Functions

Differentiation of Exponential Functions

Exponential Derivatives
Exponential Derivatives
Chain Rule for Exponential Functions
Chain Rule for Exponential Functions
Derivatives of Exponential functions involving Trig Functions
Derivatives of Exponential functions involving Trig Functions

Differentiation of Logarithmic Functions

Derivatives of Log functions Part 1
Derivatives of Log functions Part 2
Derivatives of Logarithmic functions
Derivatives of Log functions Part 3
Lecture 2 Derivatives of Logarithmic functions
Problems involving Logarithmic and Trig functions part 1
Problems involving Logarithmic and Trig functions part 2
Problems involving Logarithmic and Trig functions part 3
Problems involving Logarithmic and Trig functions

Revision Section on Chain Rule

Revision of Chain Rule Part 1
Revision of Chain Rule Part 2
Practice Problems Part 1
Practice Problems Part 2
Revision of Chain Rule

Differentiation of inverse Trig Function

Derivatives of Inverse Trig Functions Part 1
Derivatives of Inverse Trig Functions Part 2
Derivatives of Inverse Trig Functions

Differentiation of Hyperbolic Trig Functions

Derivatives of Hyperbolic Trig functions part 1
Derivatives of Hyperbolic Trig functions part 2
Derivatives of Hyperbolic Trig functions
Derivatives of Hyperbolic Trig functions part 3
Derivatives of Inverse Hyperbolic Trig functions

Differentiation of Implicit Functions

Differentiation of Implicit functions Part 1
Differentiation of Implicit functions Part 2
Differentiation of Implicit functions
Differentiation of Implicit functions involving Trig functions-1
Differentiation of Implicit functions involving Trig functions-2
Implicit differentiation involving Trig Functions

Logarithmic Differentiation

Logarithmic Differentiation Part 1
Logarithmic Differentiation Part 2
Logarithmic Differentiation Part 1,2
Logarithmic Differentiation Part 3
Logarithmic Differentiation Part 4
Logarithmic Differentiation Part 3,4
Logarithmic Differentiation involving Trig functions Part 5
Logarithmic Differentiation involving Trig functions Part 5
Logarithmic Differentiation Part 6
Logarithmic Differentiation Part 7
Logarithmic Differentiation Part 6,7

Differentiation of Parametric Functions

Differentiation of Parametric Functions Part 1
Differentiation of Parametric Functions Part 2
Differentiation of Parametric Functions
Differentiation of a function w. r. t. another function Part 1
Differentiation of a function w. r. t. another function Part 2
Differentiation of a function w. r. t. another function

Higher Order Derivatives

Higher Order Derivatives Part 1
Higher Order Derivatives Part 2
Higher Order Derivatives
Higher Order Derivatives Part 3
Higher Order Derivatives Part 4
Higher order derivatives
Higher Order Derivatives involving Trig Functions
Higher Order Derivatives involving Trig Functions
Second order derivatives with Parametric functions
Second order derivatives with Parametric functions