What is the derivative of e^{-0.4x} ?

The derivative of e^{-0.4x} is -0.4e^{-0.4x}

What is the first derivative of e^{-0.4x} ?

The first derivative of e^{-0.4x} is -0.4e^{-0.4x}

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\frac{d}{d x} (e^{- 0.4 x})

- 0.4 e^{- 0.4 x}

Solution steps

\frac{d}{d x} (e^{- 0.4 x})

Apply the chain rule:

e^{- 0.4 x} \frac{d}{d x} (- 0.4 x)

= e^{- 0.4 x} \frac{d}{d x} (- 0.4 x)

\frac{d}{d x} (- 0.4 x) = - 0.4

= e^{- 0.4 x} (- 0.4)

Simplify

= - 0.4 e^{- 0.4 x}

6 t - \frac{2}{t}

\frac{d}{d x} (\frac{1}{3} x^{3} - \frac{1}{2} x^{2} - 6 x)

\frac{3 s + 17}{s ^{2} + s + 1}

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What is the derivative of e^{-0.4x} ?
The derivative of e^{-0.4x} is -0.4e^{-0.4x}
What is the first derivative of e^{-0.4x} ?
The first derivative of e^{-0.4x} is -0.4e^{-0.4x}