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

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

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

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

- 4 e^{- 4 x}

Solution steps

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

Apply the chain rule:

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

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

\frac{\partial}{\partial x} (- 4 x) = - 4

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

Simplify

= - 4 e^{- 4 x}

x \to \frac{π}{2} lim (4 sec (x))

\frac{d}{d x} (\frac{4 x}{( x - 1 ) ^{2}})

\int_{0}^{2} 2 x^{2} + 1 d x

\int_{0}^{1} \frac{x}{1 + x ^{2}} d x

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