Differentiate the following functions with respect to x:



Now



Using sin2θ + cos2θ = 1


y = sin–1(sinθ)


Considering the limits,


0 < x < 1


0 < cos θ < 1



Now, y = sin–1(sinθ)


y = θ


y = cos–1x


Differentiating w.r.t x, we get



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