# How do you find the derivative of y=arcsin(5x+5)?

May 14, 2016

(dy)/(dx)=5/(sqrt(1-(5x+5)^2)

#### Explanation:

As $y - \arcsin \left(5 x + 5\right)$, $\sin y = 5 x + 5$

Taking derivative of both sides

$\cos y \frac{\mathrm{dy}}{\mathrm{dx}} = 5$

(dy)/(dx)=5/cosy=5/(sqrt(1-sin^2y)

= 5/(sqrt(1-(5x+5)^2)