Q15 of 45 Page 1

Differentiate

OR


If x = a(θ – sin θ), y = a(1 + cosθ), find

Let



y = u + v


Differentiating both sides w.r.t. x





Taking log both sides,




Differentiating both sides w.r.t. x





Using the product rule,


(uv)’ = u’v + v’u






Calculating


Differentiating w.r.t x





Using quotient rule,









OR


x = a(θ – sin θ)



y = a(1 + cosθ)








Hence, the required derivative is



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OR


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