Differentiate <sp

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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