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Example 22 - Chapter 5 Class 12 Continuity and Differentiability
Last updated at June 2, 2023 by Teachoo
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
Example 22 Find 𝑑𝑦/𝑑𝑥 if 𝑥 − 𝑦 = 𝜋. (x − y) = 𝜋 Differentiating both sides w.r.t x (𝑑(𝑥 − 𝑦))/𝑑𝑥= 𝑑𝜋/𝑑𝑥 𝑑𝑥/𝑑𝑥− 𝑑𝑦/𝑑𝑥 = 0 1 − 𝑑𝑦/𝑑𝑥 = 0 𝒅𝒚/𝒅𝒙 = 1
