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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