# Example 31 - Chapter 5 Class 12 Continuity and Differentiability

Last updated at July 15, 2019 by Teachoo

Last updated at July 15, 2019 by Teachoo

Transcript

Example 31 Differentiate ^ . . . , where a is a positive constant. Let y = ^ Taking log on both sides log = log ^ log = log Differentiating both sides . . . ( (log ))/ = / log dx ( (log ))/ = log . / ( (log ))/ = log ( (log ))/ . / = log ( (log ))/ . / = log 1/ . / = log / = log Putting back = ^ / = ^

Chapter 5 Class 12 Continuity and Differentiability

Concept wise

- Checking continuity at a given point
- Checking continuity at any point
- Checking continuity using LHL and RHL
- Algebra of continous functions
- Continuity of composite functions
- Checking if funciton is differentiable
- Finding derivative of a function by chain rule
- Finding derivative of Implicit functions
- Finding derivative of Inverse trigonometric functions
- Finding derivative of Exponential & logarithm functions
- Logarithmic Differentiation - Type 1
- Logarithmic Differentiation - Type 2
- Derivatives in parametric form
- Finding second order derivatives - Normal form
- Finding second order derivatives- Implicit form
- Proofs
- Verify Rolles theorem
- Verify Mean Value Theorem

About the Author

Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.