What is the derivative of e^{-4x} ?

The derivative of e^{-4x} is -4e^{-4x}

What is the first derivative of e^{-4x} ?

The first derivative of e^{-4x} is -4e^{-4x}

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derivative of

e^{- 4 x}

- 4 e^{- 4 x}

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

= - 4 e^{- 4 x}

\int 8^{3 x + 5} d x

\frac{2}{( s ^{2} + 4 ) ^{2}}

\int_{0}^{0.3} 300 x d x

x csc (x)

\frac{\partial}{\partial y} (- arctan (\frac{x}{y}))

What is the derivative of e^{-4x} ?
The derivative of e^{-4x} is -4e^{-4x}
What is the first derivative of e^{-4x} ?
The first derivative of e^{-4x} is -4e^{-4x}