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Popular >

derivative of 80e^{-x/(10}-40x)

Solution

\frac{d}{d x} (80 e^{- \frac{x}{10}} - 40 x)

Solution

- 8 e^{- \frac{x}{10}} - 40

Solution steps

\frac{d}{d x} (80 e^{- \frac{x}{10}} - 40 x)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (80 e^{- \frac{x}{10}}) - \frac{d}{d x} (40 x)

\frac{d}{d x} (80 e^{- \frac{x}{10}}) = - 8 e^{- \frac{x}{10}}

\frac{d}{d x} (40 x) = 40

= - 8 e^{- \frac{x}{10}} - 40

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Frequently Asked Questions (FAQ)

What is the derivative of 80e^{-x/(10}-40x) ?
The derivative of 80e^{-x/(10}-40x) is -8e^{-x/(10)}-40
What is the first derivative of 80e^{-x/(10}-40x) ?
The first derivative of 80e^{-x/(10}-40x) is -8e^{-x/(10)}-40