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Q25 of 354 Page 11

Differentiate the following functions with respect to x:

Let

We have sin2θ = 2sinθcosθ and 1 + cos2θ = 2cos²θ.

On differentiating y with respect to x, we get

We know

[using chain rule]

We have

However,

[∵ sin2θ = 2sinθcosθ]

Thus,

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