What is the derivative of-4e^{-2.5x} ?

The derivative of-4e^{-2.5x} is 10e^{-2.5x}

What is the first derivative of-4e^{-2.5x} ?

The first derivative of-4e^{-2.5x} is 10e^{-2.5x}

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\frac{d}{d x} (- 4 e^{- 2.5 x})

10 e^{- 2.5 x}

Solution steps

\frac{d}{d x} (- 4 e^{- 2.5 x})

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= - 4 \frac{d}{d x} (e^{- 2.5 x})

Apply the chain rule:

e^{- 2.5 x} \frac{d}{d x} (- 2.5 x)

= e^{- 2.5 x} \frac{d}{d x} (- 2.5 x)

\frac{d}{d x} (- 2.5 x) = - 2.5

= - 4 e^{- 2.5 x} (- 2.5)

Simplify

= 10 e^{- 2.5 x}

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What is the derivative of-4e^{-2.5x} ?
The derivative of-4e^{-2.5x} is 10e^{-2.5x}
What is the first derivative of-4e^{-2.5x} ?
The first derivative of-4e^{-2.5x} is 10e^{-2.5x}