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December 2, 2018
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MATHEMATICS: DIFFERENTIATION FOR IIT JEE

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contents
Derivative at a Point  
l. Geometrical meaning of derivative at a point  
2. Physical interpretation at a point  
Some Standard Differentiation  
1. Differentiation of Algebraic functions  
2.Differentiation of trigonometric functions  
3.Differentiation of Logarithmic and Exponential functions  
4.Differentiation of Inverse circular functions  
5.Differentiation of hyperbolic functions  
6.Differentiation by Trigonometrical substitution  
7.Some suitable substitution  
Theorems for Differentiation  
Relation between dy/dx and dx/dy  
Methods of Differentiation  
l Differentiation of Implict functions  
l Logarithmic Differentiation  
l Differentiation of Parametric functions  
l Differentiation of Infinite Series  
l Differentiation of composite function  
Differentiation of a function with respect to another function  
Successive Differentiation or Higher order Derivatives  
nth derivative using Partial Fractions  
Differentiation of Determinant  
Differentiation of Integral Function  
Leibnitz’s Theorem  

 

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