# Ex 5.3, 10 - Chapter 5 Class 12 Continuity and Differentiability

Last updated at March 11, 2017 by Teachoo

Last updated at March 11, 2017 by Teachoo

Transcript

Ex 5.3, 10 Find in, = tan 1 3 3 1 3 2 , 1 3 < < 1 3 = tan 1 3 3 1 3 2 Putting x = tan y = 1 3 tan tan 3 1 3 tan 2 y = 1 ( tan 3 ) = 3 Putting value of = 1 = 3 ( 1 ) Differentiating both sides . . . . ( ) = 3 ( 1 ) =3 ( 1 ) = 3 1 1 + 2 = +

Finding derivative of Inverse trigonometric functions

Derivative of cos-1 x (Cos inverse x)

Example 26

Example 27

Derivative of cot-1 x (cot inverse x)

Derivative of sec-1 x (Sec inverse x)

Derivative of cosec-1 x (Cosec inverse x)

Ex 5.3, 9

Ex 5.3, 12

Ex 5.3, 14 Important

Ex 5.3, 11

Ex 5.3, 13

Ex 5.3, 10 Important You are here

Ex 5.3, 15

Misc 5

Misc 4

Misc 13

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.