1. Tardigrade
  2. Question
  3. Mathematics
  4. If y=(1+x2) tan -1 x-x then (d y/d x) is

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. If $y=\left(1+x^{2}\right) \tan ^{-1} x-x$ then $\frac{d y}{d x}$ is

KCETKCET 2022Continuity and Differentiability

Solution:

$y=\left(1+x^{2}\right) \tan ^{-1} x-x$
$\frac{d y}{d x}=\frac{\left(1+x^{2}\right)}{1+x^{2}}+\tan ^{-1} x \cdot(2 x)-1$
$=2 x \tan ^{-1} x$