Using the Extended Power Rule Find the following derivatives.

$\frac{d}{dx}\left(\frac{9}{{x}^{5}}\right)$

Jaya Legge
2021-04-23
Answered

Using the Extended Power Rule Find the following derivatives.

$\frac{d}{dx}\left(\frac{9}{{x}^{5}}\right)$

You can still ask an expert for help

Szeteib

Answered 2021-04-25
Author has **102** answers

Step 1

$\frac{d}{dx}\left(\frac{9}{{x}^{5}}\right)=\frac{d}{dx}\left(9{x}^{-5}\right)$

Use the power rule of derivative which states

$\frac{d}{dx}\left({x}^{n}\right)=n{x}^{n-1}$

Thus

$\frac{d}{dx}\left(9{x}^{-5}\right)=9(-5){x}^{-6}$

$=-45{x}^{-6}$

$=\frac{-45}{{x}^{6}}$

Use the power rule of derivative which states

Thus

Jeffrey Jordon

Answered 2022-01-31
Author has **2027** answers

Answer is given below (on video)

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