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:
\(\frac{-32}{3x^{5}}\)
0

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