Q. 125.0( 2 Votes )

Differentiate the following functions with respect to x:


Answer :


Let x = sinθ


Now



Using sin2θ + cos2θ = 1




Using 2cos2θ = 1 + cos2θ and 2sinθ cosθ = sin2θ




Considering the limits,


–1 < x < 1


–1 < sin θ < 1




Now,





Differentiating w.r.t x, we get




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