# Ex 5.7, 5 - Chapter 5 Class 12 Continuity and Differentiability

Last updated at May 29, 2018 by Teachoo

Last updated at May 29, 2018 by Teachoo

Transcript

Ex 5.7, 5 Find the second order derivatives of the function 3 log Let y = 3 log Differentiating . . . . = ( 3 log ) = 3 . log + ( log ) . 3 = 3 2 . log + 1 . 3 = 3 2 . log + 2 Again Differentiating . . . = (3 2 . log + 2 ) 2 2 = (3 2 . log ) + ( 2 ) 2 2 = 3 ( 2 . log ) + 2 2 2 = 3 . 2 . log + ( log ) . 2 + 2 = 3 2 . log + 1 . 2 + 2 = 3 2 . log + + 2 = 6 log + 3 + 2 = 6 log +5 = x 6 log +5 = 5+6 log Hence , = +

Finding second order derivatives - Normal form

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

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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.