Some Standard Substitutions
continuity and differentiability of Class 12
Expression Substitution
x = a sin θ or a cos θ
x = a tan θ or a cot θ
x = a sec θ or a cosec θ
x = a cos θ or a cos 2 θ
x = a (1 - cos θ)
Critical Points
The points on the curve y = f(x) at which 
= 0 or does not exist are called critical points.
= 0 or does not exist are called critical points.- Continuity of A Function
- Discontinuity of A Function
- Derivatives
- Differentiability and Continuity
- Some Standard Differentials
- Derivative of Parametric and Logarithmic Functions
- Some Standard Substitutions
- Exercise 1
- Exercise 2
- Exercise 3
- Exercise 4
- Exercise 5
- Exercise 6
- Exercise 7
- Exercise 8
- Exercise 9
- Exercise 10
