Find the derivative of $\frac{x^{n}-a^{n}}{x-a}$ with respect to $x$,where $a$ is a constant.

  • A
    $\frac{(n-1)x^n - nax^{n-1} + a^n}{(x-a)^2}$
  • B
    $\frac{(n-1)x^n + nax^{n-1} - a^n}{(x-a)^2}$
  • C
    $\frac{(n-1)x^n - nax^{n-1} - a^n}{(x-a)^2}$
  • D
    $\frac{(n+1)x^n - nax^{n-1} + a^n}{(x-a)^2}$

Explore More

Similar Questions

If $y=(1+x)(1+x^2)(1+x^4) \dots (1+x^{2^n})$, then $\left(\frac{dy}{dx}\right)_{x=0}$ is equal to

If $y = \log \sqrt{\tan x}$,then the value of $\frac{dy}{dx}$ at $x = \frac{\pi}{4}$ is

If $f(t) = \frac{t}{2} + \frac{1}{4} \log(2t - 1)$,then $f^{\prime}\left(\frac{t+1}{2t+1}\right) = $

If $f(x) = \begin{cases} x-5, & \text{for } x \leq 1 \\ 4x^2-9, & \text{for } 1 < x < 2 \\ 3x+4, & \text{for } x \geq 2 \end{cases}$,then $f^{\prime}(2^{+})$ is equal to:

The derivative of $y = (1 - x)(2 - x)...(n - x)$ at $x = 1$ is equal to

Difficult
View Solution

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