Q14 of 354 Page 12

Differentiate the following functions with respect to x:


Let x = sinθ


Now



Using sin2θ + cos2θ = 1



Now




Using sin(A + B) = sinA cosB + cosA sinB



Considering the limits,


–1 < x < 1


–1 < sin θ < 1





Now,





Differentiating w.r.t x, we get




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