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Elenna [48]
2 years ago
13

Rewrite, differentiate and simplify: 3/(2x)^3

Mathematics
1 answer:
Llana [10]2 years ago
8 0

\frac{dy}{dx} = - \frac{9}{8x^{4} }

let y = \frac{3}{(2x)^{3} } = \frac{3}{8} x^{-3}

differentiate using the power rule

\frac{d}{dx} (ax^{n} ) = nax^{n-1}

\frac{dy}{dx} = - \frac{9}{8}x^{-4} = - \frac{9}{8x^{4} }


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