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Popular >

derivative of-8e^{-x/(10}-40)

Solution

\frac{d}{d x} (- 8 e^{- \frac{x}{10}} - 40)

Solution

\frac{4}{5} e^{- \frac{x}{10}}

Solution steps

\frac{d}{d x} (- 8 e^{- \frac{x}{10}} - 40)

Apply the Sum/Difference Rule:

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

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

\frac{d}{d x} (8 e^{- \frac{x}{10}}) = - \frac{4}{5} e^{- \frac{x}{10}}

\frac{d}{d x} (40) = 0

= - (- \frac{4}{5} e^{- \frac{x}{10}}) - 0

Simplify

= \frac{4}{5} e^{- \frac{x}{10}}

Popular Examples

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f (x) = (1 + 2 x)^{10}, (0, 1)

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\frac{\partial}{\partial x} (\frac{3 x y ^{2}}{x ^{2} + y ^{4}})

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\int 5 x e^{4 x} d x

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\int (3 x - 4) \cdot e^{- x} d x

Frequently Asked Questions (FAQ)

What is the derivative of-8e^{-x/(10}-40) ?
The derivative of-8e^{-x/(10}-40) is 4/5 e^{-x/(10)}
What is the first derivative of-8e^{-x/(10}-40) ?
The first derivative of-8e^{-x/(10}-40) is 4/5 e^{-x/(10)}