What is the derivative of y=e^{-x^9} ?

The derivative of y=e^{-x^9} is -9e^{-x^9}x^8

What is the first derivative of y=e^{-x^9} ?

The first derivative of y=e^{-x^9} is -9e^{-x^9}x^8

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derivative of

y = e^{- x^{9}}

- 9 e^{- x^{9}} x^{8}

Solution steps

\frac{d}{d x} (e^{- x^{9}})

Apply the chain rule:

e^{- x^{9}} \frac{d}{d x} (- x^{9})

= e^{- x^{9}} \frac{d}{d x} (- x^{9})

\frac{d}{d x} (- x^{9}) = - 9 x^{8}

= e^{- x^{9}} (- 9 x^{8})

Simplify

= - 9 e^{- x^{9}} x^{8}

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What is the derivative of y=e^{-x^9} ?
The derivative of y=e^{-x^9} is -9e^{-x^9}x^8
What is the first derivative of y=e^{-x^9} ?
The first derivative of y=e^{-x^9} is -9e^{-x^9}x^8