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# Find the derivative of the function. y=frac{8}{3x^4} # Find the derivative of the function. y=frac{8}{3x^4}

Question
Derivatives asked 2021-02-11
Find the derivative of the function.
$$y=\frac{8}{3x^4}$$

## Answers (1) 2021-02-12
You have to use the quotient rule which states:
$$\frac{d}{dx}[\frac{f(x)}{g(x)}]=(g(x)f'(x)-g'(x)f(x))/(g(x))^{2}$$
So
$$\frac{d}{dx}[\frac{8}{3x^{4}}]=\frac{3x^{4}\times0-12x^{3}\times8}{(3x^{4})^{2}}$$
Simplifying that, we get:
$$\frac{-32}{3x^{5}}$$

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