If $y = \sqrt[3]{\tan x + y}$, then $\frac{dy}{dx} =$

  • A
    $\frac{\sec^2 x}{3y^2 + 1}$
  • B
    $\frac{\sec^2 x}{3y^2 - 1}$
  • C
    $\frac{\tan x}{3y^2 - 1}$
  • D
    $\frac{\sec^2 x}{3y - 1}$

Explore More

Similar Questions

If $x \sqrt{1+y}+y \sqrt{1+x}=0$ for $-1 < x < 1$,prove that $\frac{dy}{dx} = -\frac{1}{(1+x)^2}$.

Difficult
View Solution

If ${x^2} + {y^2} = t - \frac{1}{t}$ and ${x^4} + {y^4} = {t^2} + \frac{1}{{{t^2}}}$,then $\frac{{dy}}{{dx}}$ equals:

If the slope of a tangent to the curve $xy + ax + by = 0$ at the point $(1, 1)$ on it is $2$,then $a - b$ is

Find the derivative of $e^{x}+e^{y}=e^{x+y}$.

If $\log (x+y)=\log (xy)+3$,then $\frac{dy}{dx}=$

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo