Q. 83.8( 4 Votes )

Differentiate the following functions with respect to x:

sin–1 (1 – 2x2), 0 < x < 1

Answer :



Now



Using 1 – 2sin2θ = cos2θ


y = sin–1(cos2θ)



Considering the limits,


0 < x < 1


0 < sin θ < 1



0 < 2θ < π


0 > –2θ > –π



Now,





Differentiating w.r.t x, we get





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