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Ex 5.2, 2 - Chapter 5 Class 12 Continuity and Differentiability
Last updated at April 16, 2024 by Teachoo
Finding derivative of a function by chain rule
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
Transcript
Ex 5.2, 2 Differentiate the functions with respect to π₯ cos (sinβ‘π₯) Let π¦ = cos (sinβ‘π₯) We need to find derivative of π¦, π€.π.π‘.π₯ i.e. (ππ¦ )/ππ₯ = (π(cos (sinβ‘π₯ )))/ππ₯ = β sinβ‘(sinβ‘π₯) . (π(sinβ‘γπ₯)γ)/ππ₯ = β sinβ‘(sinβ‘π₯) . cosβ‘π₯ = β ππ¨π¬β‘π πππ β‘(π¬π’π§β‘γπ)γ
