Q16 of 354 Page 12

Differentiate the following functions with respect to x:


Let 2x = tanθ





Considering the limits,



–1 < 2x < 1


–1 < tanθ < 1




Now,


y = tan–1(tan2θ)


y = 2θ


y = 2tan–1(2x)


Differentiating w.r.t x, we get





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