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Popular >

derivative of e^{-(x/(200)^{3.2}})

Solution

\frac{d}{d x} (e^{- (\frac{x}{200})^{3.2}})

Solution

- 0.016 e^{- (\frac{x}{200})^{3.2}} (0.005 x)^{2.2}

Solution steps

\frac{d}{d x} (e^{- (\frac{x}{200})^{3.2}})

Apply the chain rule:

e^{- (\frac{x}{200})^{3.2}} \frac{d}{d x} (- (\frac{x}{200})^{3.2})

= e^{- (\frac{x}{200})^{3.2}} \frac{d}{d x} (- (\frac{x}{200})^{3.2})

\frac{d}{d x} (- (\frac{x}{200})^{3.2}) = - 0.016 (0.005 x)^{2.2}

= e^{- (\frac{x}{200})^{3.2}} (- 0.016 (0.005 x)^{2.2})

Simplify

= - 0.016 e^{- (\frac{x}{200})^{3.2}} (0.005 x)^{2.2}

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Frequently Asked Questions (FAQ)

What is the derivative of e^{-(x/(200)^{3.2}}) ?
The derivative of e^{-(x/(200)^{3.2}}) is -0.016e^{-(x/(200))^{3.2}}(0.005x)^{2.2}
What is the first derivative of e^{-(x/(200)^{3.2}}) ?
The first derivative of e^{-(x/(200)^{3.2}}) is -0.016e^{-(x/(200))^{3.2}}(0.005x)^{2.2}