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Ex 5.2, 1 - Chapter 5 Class 12 Continuity and Differentiability
Last updated at Dec. 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, 1 Differentiate the functions with respect to π₯ sinβ‘(π₯2 + 5) y = sin (x2 + 5) We need to find derivative of π¦, π€.π.π‘.π₯ (ππ¦ )/ππ₯ = (π(sinβ‘(π₯2 + 5)))/ππ₯ = cos (π₯2 + 5) Γ π(π₯2 + 5)/ππ₯ = cos (π₯2 + 5) Γ ((π(π₯2))/ππ₯+ (π(5))/ππ₯) = cos (π₯2 + 5) Γ (γ2π₯γ^(2β1) + 0) = cos (π₯2 + 5) Γ 2π₯ = ππ πππβ‘γ (ππ + π)γ
