Question
Download Solution PDFIf x = k(θ + sin θ) and y = k (1 + cos θ), then what is the derivative of y with respect to x at θ = π/2?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
If x = f(θ), y = f(θ) then,
By chain Rule, we have
Calculations:
Given, x = k(θ + sin θ)
⇒
y = k (1 + cos θ)
⇒
By chain rule, we have
⇒
⇒
Put θ = π/2
⇒
Hence, if x = k(θ + sin θ) and y = k (1 + cos θ), then the derivative of y with respect to x at θ = π/2 is -1.
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