Question

find the derivative of X ^ 5 - cos x / sin x​

Answer 1

Step-by-step explanation:

x^5-cot x

5x^4+cosec^2x

Answer 2

Step-by-step explanation: differentating with respect to x

$\frac{d}{dx}$  (  $x^{5}$ ) =  5$x^{4}$      because  $\frac{d}{dx}$ $x^{n}$  =  n $x^{n-1}$ and cosx/sinx  use division rule

d/dx (u/v) =  u d/dx v - v d/dx u whole divided by v square we get

cosx/sinx = cosx d/dx sinx - sinx d/dx cosx  whole divided sin squarex

 d/dx cosx = - sinx and  d/dx sinx = cosx