What is the derivative of-2e^{-3x} ?

The derivative of-2e^{-3x} is 6e^{-3x}

What is the first derivative of-2e^{-3x} ?

The first derivative of-2e^{-3x} is 6e^{-3x}

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

6 e^{- 3 x}

Solution steps

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

Take the constant out:

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

= - 2 \frac{d}{d x} (e^{- 3 x})

Apply the chain rule:

e^{- 3 x} \frac{d}{d x} (- 3 x)

= e^{- 3 x} \frac{d}{d x} (- 3 x)

\frac{d}{d x} (- 3 x) = - 3

= - 2 e^{- 3 x} (- 3)

Simplify

= 6 e^{- 3 x}

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What is the derivative of-2e^{-3x} ?
The derivative of-2e^{-3x} is 6e^{-3x}
What is the first derivative of-2e^{-3x} ?
The first derivative of-2e^{-3x} is 6e^{-3x}