Question

Rewrite the function, differentiate, and then simplify y= 3/√x

Answer 1

Answer:

$\frac{dy}{dx}$ = - $\frac{3}{2x^{\frac{3}{2} } }$

Step-by-step explanation:

Differentiate using the power rule

$\frac{d}{dx}$ (a$x^{n}$ ) = na$x^{n-1}$

Given

y = $\frac{3}{\sqrt{x} }$ = 3$x^{-\frac{1}{2} }$ , then

$\frac{dy}{dx}$ = - $\frac{3}{2}$ $x^{-\frac{3}{2} }$ = - $\frac{3}{2x^{\frac{3}{2} } }$