What is (\partial)/(\partial x)(e^{-4x^2}) ?

The answer to (\partial)/(\partial x)(e^{-4x^2}) is -8e^{-4x^2}x

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(\partial)/(\partial x)(e^{-4x^2})

\frac{\partial}{\partial x} (e^{- 4 x^{2}})

- 8 e^{- 4 x^{2}} x

Solution steps

\frac{\partial}{\partial x} (e^{- 4 x^{2}})

Apply the chain rule:

e^{- 4 x^{2}} \frac{\partial}{\partial x} (- 4 x^{2})

= e^{- 4 x^{2}} \frac{\partial}{\partial x} (- 4 x^{2})

\frac{\partial}{\partial x} (- 4 x^{2}) = - 8 x

= e^{- 4 x^{2}} (- 8 x)

Simplify

= - 8 e^{- 4 x^{2}} x

\frac{d}{d x} (6 ln (x))

2 x - 1 + (3 y + 7) (\frac{d y}{d x}) = 0

1 + x, 0

\frac{1 - 2 t}{6 + t}

y = \frac{x ^{7} - 2 x ^{4} + 14 x}{x ^{4}}

What is (\partial)/(\partial x)(e^{-4x^2}) ?
The answer to (\partial)/(\partial x)(e^{-4x^2}) is -8e^{-4x^2}x