# Math Help - help with derivative

1. ## help with derivative

can someone help me please to find the derivative of the next equation :
f(x) = (1/x)*sin(x^(1/3))
f '(x) = ?

thnx

2. Originally Posted by tukilala
can someone help me please to find the derivative of the next equation :
f(x) = (1/x)*sin(x^(1/3))
f '(x) = ?

thnx
$f(x) = \frac{sin(x^{\frac{1}{3}})}{x}$

Use the quotient rule and bear in mind you'll need to use the chain rule on the numerator

Quotient Rule $\frac{dy}{dx} = \frac{v \frac{du}{dx} - u \frac{dv}{dx}}{v^2}$

Chain Rule: $\frac{d}{dx}f[g(x)] = f'[g(x)] \times g'(x)$