Q1 of 354 Page 12

Differentiate the following functions with respect to x:



Now




Using sin2θ + cos2θ = 1 and 2sinθcosθ = sin2θ


= cos–1(2cosθsinθ )


= cos–1(sin2θ)



Considering the limits,









Therefore,






Differentiating w.r.t x,





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