Q13 of 354 Page 12

Differentiate the following functions with respect to x:


Let x = a sinθ


Now



Using sin2θ + cos2θ = 1




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




Considering the limits,


–a < x < a


–1 < sin θ < 1




Now,





Differentiating w.r.t x, we get





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