Q. 174.0( 5 Votes )

Differentiate the

Answer :


Let 2x = tanθ






Considering the limits,


–∞ < x < 0


2–∞ < 2x < 20


0 < tanθ < 1




Now,


y = tan–1(tan2θ)


y = 2θ


y = 2tan–1(2x)


Differentiating w.r.t x, we get





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