Differentiate the following function with respect to x: tan^-1{4x/(1-4x^2)}, - 1/2 < x < 1/2

Question

Differentiate the following function with respect to x:

tan^-1\(\{\frac{4\mathrm x}{1-4\mathrm x^2}\},\) \(-\frac 12\) < x < \(\frac12\)

Comments

Wrong answer

Answer 1

y =  tan^-1\(\{\frac{4\mathrm x}{1-4\mathrm x^2}\}\)

Let 2x = tanθ