Q18 of 354 Page 12

Differentiate the following functions with respect to x:


Let ax = tanθ





Considering the limits,


–∞ < x < 0


a–∞ < ax < a0


0 < tanθ < 1




Now,


y = tan–1(tan2θ)


y = 2θ


y = 2tan–1(ax)


Differentiating w.r.t x, we get





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