If ( y=tan^{-1}\left(\frac{2x}{1+3x^{2}}\right)+tan^{-1}\lef... | Mathematics | SolveeIt | Solveeit

Today, August 18

Question

If $y=tan^{-1}\left(\frac{2x}{1+3x^{2}}\right)+tan^{-1}\left(\frac{5+x}{1-5x}\right)$ , then $\frac{dy}{dx}=$

A

$\frac{9}{1+9x^{2}}$

B

$\frac{3}{1+9x^{2}}$

C

$\frac{1}{1+9x^{2}}$

D

$\frac{3}{1+3x^{2}}$

Answer

$\frac{3}{1+9x^{2}}$

Explanation

Solution

Answer (b) $\frac{3}{1+9x^{2}}$