Calculus Part 1 (Differential Calculus)


Differential Calculus

What you will learn

Perform Differentiation using Limit method

Explicit and Implicit Functions

Chain Rule, Product Rule

Second Order Derivatives

Rate of Change of Derivatives

Increasing and Decreasing Function

Maxima and Minima

Description

In this course I’ll teach differential calculus topics,

LIMIT, CONTINUITY AND DIFFERENTIABILITY:

Real – valued functions, algebra of functions, polynomials, rational, trigonometric, logarithmic and exponential functions, inverse function. Graphs of simple functions. Limits, continuity and differentiability. Differentiation of the sum, difference, product and quotient of two functions. Differentiation of trigonometric, inverse trigonometric, logarithmic, exponential, composite and implicit functions; derivatives of order up to two, Rolle’s and Lagrange’s Mean value Theorems, Applications of derivatives: Rate of change of quantities, monotonic- Increasing and decreasing functions, Maxima and minima of functions of one variable, tangents and normal.

In this course I’ll teach differential calculus topics,

LIMIT, CONTINUITY AND DIFFERENTIABILITY:


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Real – valued functions, algebra of functions, polynomials, rational, trigonometric, logarithmic and exponential functions, inverse function. Graphs of simple functions. Limits, continuity and differentiability. Differentiation of the sum, difference, product and quotient of two functions. Differentiation of trigonometric, inverse trigonometric, logarithmic, exponential, composite and implicit functions; derivatives of order up to two, Rolle’s and Lagrange’s Mean value Theorems, Applications of derivatives: Rate of change of quantities, monotonic- Increasing and decreasing functions, Maxima and minima of functions of one variable, tangents and normal.

In this course I’ll teach differential calculus topics,

LIMIT, CONTINUITY AND DIFFERENTIABILITY:

Real – valued functions, algebra of functions, polynomials, rational, trigonometric, logarithmic and exponential functions, inverse function. Graphs of simple functions. Limits, continuity and differentiability. Differentiation of the sum, difference, product and quotient of two functions. Differentiation of trigonometric, inverse trigonometric, logarithmic, exponential, composite and implicit functions; derivatives of order up to two, Rolle’s and Lagrange’s Mean value Theorems, Applications of derivatives: Rate of change of quantities, monotonic- Increasing and decreasing functions, Maxima and minima of functions of one variable, tangents and normal.

English
language

Content

Limit

Existence of Limit
Concept of Limit
Finding out Limit
Algebra of Limit
Limit of Polynomials and Rational Functions
Formula of Limit
Limit of Trigonometric Functions
Quiz 1

Differentiation

differentiations by First principle
Trigonometry Differentiations by First principle
Introduction of differentiation

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