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Popular >

derivative of 4/(x^7-e^{-8x})

Solution

\frac{d}{d x} (\frac{4}{x ^{7}} - e^{- 8 x})

Solution

- \frac{28}{x ^{8}} + 8 e^{- 8 x}

Solution steps

\frac{d}{d x} (\frac{4}{x ^{7}} - e^{- 8 x})

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (\frac{4}{x ^{7}}) - \frac{d}{d x} (e^{- 8 x})

\frac{d}{d x} (\frac{4}{x ^{7}}) = - \frac{28}{x ^{8}}

\frac{d}{d x} (e^{- 8 x}) = - 8 e^{- 8 x}

= - \frac{28}{x ^{8}} - (- 8 e^{- 8 x})

Simplify

= - \frac{28}{x ^{8}} + 8 e^{- 8 x}

Graph

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Frequently Asked Questions (FAQ)

What is the derivative of 4/(x^7-e^{-8x}) ?
The derivative of 4/(x^7-e^{-8x}) is -(28)/(x^8)+8e^{-8x}
What is the first derivative of 4/(x^7-e^{-8x}) ?
The first derivative of 4/(x^7-e^{-8x}) is -(28)/(x^8)+8e^{-8x}