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Unit 7

LIMIT, CONTINUITY AND DIFFERENTIABILITY

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4
Sub-Units
14
Topics
7.1
Functions & Graphs
Real–valued functions; algebra of functions
High
JEE_Main
Polynomial, rational, trigonometric, logarithmic and exponential functions; inverse functions
High
JEE_Main
Graphs of simple functions
High
JEE_Main
7.2
Core Concepts
Limits
High
JEE_Main
Continuity
High
JEE_Main
Differentiability
High
JEE_Main
7.3
Differentiation Rules
Differentiation of sum, difference, product and quotient of two functions
High
JEE_Main
Differentiation of trigonometric and inverse trigonometric functions
High
JEE_Main
Differentiation of logarithmic and exponential functions
High
JEE_Main
Differentiation of composite and implicit functions
High
JEE_Main
Derivatives of order up to two
High
JEE_Main
7.4
Applications of Derivatives
Rate of change of quantities
High
JEE_Main
Monotonic increasing and decreasing functions
High
JEE_Main
Maxima and minima of functions of one variable
High
JEE_Main