Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Inverse Trigonometric Functions

Question:

The derivative of $\frac{tan^{-1}x}{1+tan^{-1}x}$ with respect to $tan^{-1}x$ is :

Options:

$\frac{tan^{-1}x}{(1+tan^{-1}x)^2}$

$\frac{1}{(1+tan^{-1}x)^2}$

$(1+tan^{-1}x)^2$

$\frac{tan^{-1}x}{(1-tan^{-1}x)^2}$

Correct Answer:

$\frac{1}{(1+tan^{-1}x)^2}$