Differentiability of Functions

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About Course

Course Description:

Welcome to the Differentiability course designed to help Class 12 students and IIT JEE aspirants grasp the essential concepts of differentiation in mathematics. This course aims to provide a solid foundation in differentiability, a crucial topic for success in both board exams and competitive entrance exams like IIT JEE. Through systematic teaching and problem-solving strategies, we will equip you with the knowledge and skills necessary to excel in this subject.

Course Objectives:

  1. To understand the concept of differentiability and its significance in mathematics.
  2. To explore the mathematical definitions and properties of derivatives.
  3. To apply differentiation techniques to various functions and equations.
  4. To solve a wide range of problems related to differentiability, including those commonly encountered in board exams and competitive entrance exams.

By the end of this Differentiability course, you will have the confidence and knowledge to tackle differentiation-related problems with ease and excel in your Class 12 exams and competitive entrance exams like IIT JEE. Enroll today and embark on a rewarding journey toward mathematical excellence!

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What Will You Learn?

  • Understanding Differentiability: Learn the concept and significance of differentiability for functions.
  • Rules of Differentiation: Master differentiation techniques, including algebraic functions, chain rule, product rule, and trigonometric and exponential functions.
  • Derivatives of Special Functions: Explore differentiation of inverse trigonometric functions, logarithmic differentiation, implicit functions, and parametric differentiation.
  • Applications: Apply differentiation to solve real-world problems like finding maxima, minima, rates of change, optimization, and using Newton's method.

Course Content

Introduction to Differentiability

  • Introduction to Differentiability
  • Relation between Continuity and Differentiability
  • Differentiability in an Interval
  • Relation between Differentiability & Continuity of f'(x)

Left Hand and Right Hand Derivatives

Differentiation by First Principle and its Applications

Miscellaneous Examples

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