What is the derivative of e^{-x^{62}} ?

The derivative of e^{-x^{62}} is -62e^{-x^{62}}x^{61}

What is the first derivative of e^{-x^{62}} ?

The first derivative of e^{-x^{62}} is -62e^{-x^{62}}x^{61}

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derivative of

e^{- x^{62}}

- 62 e^{- x^{62}} x^{61}

Solution steps

\frac{d}{d x} (e^{- x^{62}})

Apply the chain rule:

e^{- x^{62}} \frac{d}{d x} (- x^{62})

= e^{- x^{62}} \frac{d}{d x} (- x^{62})

\frac{d}{d x} (- x^{62}) = - 62 x^{61}

= e^{- x^{62}} (- 62 x^{61})

Simplify

= - 62 e^{- x^{62}} x^{61}

y^{^{'}} = x - 2 y

(1, 4), (- 5, 2)

\int \frac{1}{12 x - 9 x ^{2} - 2} d x

3 x y

sin (x) ln (2 x)

What is the derivative of e^{-x^{62}} ?
The derivative of e^{-x^{62}} is -62e^{-x^{62}}x^{61}
What is the first derivative of e^{-x^{62}} ?
The first derivative of e^{-x^{62}} is -62e^{-x^{62}}x^{61}