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Ex 5.6, 2 - Chapter 5 Class 12 Continuity and Differentiability
Last updated at April 16, 2024 by Teachoo
Derivatives in parametric form
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
Ex 5.6, 2 If x and y are connected parametrically by the equations without eliminating the parameter, Find ππ¦/ππ₯, π₯=π cosβ‘π, π¦=π cosβ‘πHere ππ¦/ππ₯ = (ππ¦/ππ)/(ππ₯/ππ) Calculating π π/π π½ π¦ = π cosβ‘π ππ¦/ππ = π(π πππ β‘π)/ππ ππ¦/ππ = b . (βsinβ‘π ) π π/π π½ = β π π¬π’π§ π½ Calculating π π/π π½ π₯=π cosβ‘π ππ₯/ππ = π(π cosβ‘π )/ππ ππ₯/ππ = π . (βsinβ‘π ) π π/π π½ = βπ πππβ‘π½
