Q42 of 354 Page 12

If find .


Put 2x = cos θ



y = cos–1(cosθ) + 2cos–1(sinθ )



Considering the limits



0 < 2x < 1


0 < cosθ < 1





Now,





y = π – cos–1(2x)


Differentiating w.r.t x we get





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