Example 31 - Chapter 5 Class 12 Continuity and Differentiability
Last updated at Sept. 17, 2019 by Teachoo
Transcript
Example 31 Differentiate ^ . . . , where a is a positive constant. Let y = ^ Taking log on both sides log = log ^ log = log Differentiating both sides . . . ( (log ))/ = / log dx ( (log ))/ = log . / ( (log ))/ = log ( (log ))/ . / = log ( (log ))/ . / = log 1/ . / = log / = log Putting back = ^ / = ^
Logarithmic Differentiation - Type 1
Example 31
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Example 32 Important
Ex 5.5, 1 Important
Ex 5.5, 13
Ex 5.5, 14 Important
Ex 5.5, 15
Ex 5.5, 5
Ex 5.5, 16 Important
Ex 5.5, 17 Important
Ex 5.5, 18
Example 30 Important
Ex 5.5, 2 Important
Misc 23 Important
Ex 5.5, 3 Important
Misc 3 Important
Misc 7 Important
Example 46
Misc 9 Important
Example 45 Important
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
About the Author
Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.