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DIFFERENTIAL CALCULUS JEE

Prepared alongside Integral Calculus, it has a lot higher weightage i.e., 17% with 62 questions asked in the previous 10 years. While most questions can be seen to be from the chapter Application of Derivatives, it is to be understood that all the chapters preceding it are its pre-requisites and this can’t be left unprepared. It is thus very important to take the whole unit and prepare everything.

JEE Differential Calculus Chapter Wise Overview

Number of questions asked in each chapter of Differential Calculus from 2010 to 2020 in JEE

 

JEE Maths Chapter-wise weightage of JEE Differential Calculus 2020

Let's find out the chapter-wise weightage of the unit Differential Calculus JEE

 
Chapters Weightage
SETS & RELATION 3.00
FUNCTIONS 5.0
Limits & Continuity and differentiability 6.00
DIFFERENTIATION (MOD) 3.00
APPLICATION OF DERIVATIVES (AOD) 7.00

 

List of important topics for Differential Calculus JEE

  • Functions and their graphs
  • Logarithmic and Exponential functions
  • Limits
  • Continuity of a function
  • Rolle's and Mean Value Theorem
  • Rate of change of quantities
  • Maxima and Minima
  • Maximum and Minimum values of a function in closed Interval
  • Tangents and Normal

Differential Calculus JEE Syllabus 2023,2024

  • Sets and their representation: Union, intersection and complement of sets and their algebraic properties; Power set;
  • Relation, Type of relations, equivalence relations
  • Functions; one-one, into and onto functions, the composition of functions.
  • 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.

Differential Calculus Video Lectures

 

Differential Calculus JEE Books

List of Chapters Differential Calculus  
1-Fundamentals and Functions Download
2-Limit Download
3-Continuity and Differentiability Download
4-Differentiation Download
5-Application and Derivatives Download
6-Tangents and Normals Download
7-Monotonicity Download
8-Maxima Minima Download
9-Graphical Transformation Download

Differential Calculus JEE Test Series 2022,2023,2024

List of FREE Integral Calculus JEE Tests  
Paper set 1 (Easy) Download Questions Download Solutions
Paper set 2 (Moderate) Download Questions Download Solutions
Paper set 3 (Difficult) Download Questions Download Solutions