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Ex 5.4, 3 - Chapter 5 Class 12 Continuity and Differentiability
Last updated at August 7, 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
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Transcript
Ex 5.4, 3 Differentiate š¤.š.š”. š„ in, ć šć^(š„^3 ) Let š¦ =ć šć^(š„^3 ) " " Differentiating both sides š¤.š.š”.š„ š(š¦)/šš„ = š(ć šć^(š„^3 ) )/šš„ šš¦/šš„ = ć šć^(š„^3 ) . š(š„^3 )/šš„ šš¦/šš„ = ć šć^(š„^3 ) . 3š„^2 š š/š š = šš^š ć šć^(š^š )
