# How do you find the derivative of y = sqrt(5-3x) ?

Dec 18, 2016

Using the Chain Rule, think of your function $y$ as:

$y = f \left(g \left(x\right)\right)$

Where:

$g \left(x\right) = 5 - 3 x$

$f \left(x\right) = \sqrt{g \left(x\right)}$

Chain rule allows us to take the derivative considering we perform it in the correct order. (Outside to inside)

So:

$y ' = \frac{1}{2} {\left(5 - 3 x\right)}^{- \frac{1}{2}} \cdot \left(- 3\right)$

$y ' = - \frac{3}{2 \sqrt{5 - 3 x}}$