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Misc 1 - Chapter 5 Class 12 Continuity and Differentiability
Last updated at December 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
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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
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Transcript
Misc 1 Differentiate w.r.t. x the function, (3š„2 ā 9š„ + 5)^9Let š¦=(3š„2 ā 9š„ + 5)^9 Differentiating š¤.š.š”.š„. šš¦/šš„ = (š(3š„2 ā 9š„ + 5)^9)/šš„ = 9(3š„2 ā 9š„ + 5)^(9 ā1) . š(3š„2 ā 9š„ + 5)/šš„ = 9(3š„2 ā 9š„ + 5)^8 . (š(3š„2)/šš„ ā š(9š„)/šš„ ā š(5)/šš„) = 9(3š„2 ā 9š„ + 5)^8 . (6š„ā9+0) = 9(3š„2 ā 9š„ + 5)^8 . (6š„ā9) = 9(3š„2 ā 9š„ + 5)^8 . 3(2š„ā3) = šš(ššš ā šš + š)^š (ššāš)
