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Ex 5.4, 3 - Chapter 5 Class 12 Continuity and Differentiability
Last updated at August 17, 2026 by Teachoo
Finding derivative of Exponential & logarithm functions
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
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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 5.4, 3 Differentiate ๐ค.๐.๐ก. ๐ฅ in, ใ ๐ใ^(๐ฅ^3 ) Let ๐ฆ =ใ ๐ใ^(๐ฅ^3 ) " " Differentiating both sides ๐ค.๐.๐ก.๐ฅ ๐(๐ฆ)/๐๐ฅ = ๐(ใ ๐ใ^(๐ฅ^3 ) )/๐๐ฅ ๐๐ฆ/๐๐ฅ = ใ ๐ใ^(๐ฅ^3 ) . ๐(๐ฅ^3 )/๐๐ฅ ๐๐ฆ/๐๐ฅ = ใ ๐ใ^(๐ฅ^3 ) . 3๐ฅ^2 ๐ ๐/๐ ๐ = ๐๐^๐ ใ ๐ใ^(๐^๐ )
