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Example 21 - 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
Example 21 Find the derivative of the function given by π (π₯) = sinβ‘(π₯2).Let y= sinβ‘(π₯2) We need to find derivative of π¦, π€.π.π‘.π₯ i.e. ππ¦/ππ₯ = (π(sinβ‘γπ₯^2)γ)/ππ₯ = cos x2 . (π (ππ))/π π = cos x2 . (γ2π₯γ^(2β1) ) = cosβ‘π₯2 (2π₯) = ππ . πππβ‘ππ
