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

The derivative of-2Ae^{-2x} is 4Ae^{-2x}

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

The first derivative of-2Ae^{-2x} is 4Ae^{-2x}

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

4 A e^{- 2 x}

Solution steps

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

Take the constant out:

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

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

Apply the chain rule:

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

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

\frac{d}{d x} (- 2 x) = - 2

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

Simplify

= 4 A e^{- 2 x}

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What is the derivative of-2Ae^{-2x} ?
The derivative of-2Ae^{-2x} is 4Ae^{-2x}
What is the first derivative of-2Ae^{-2x} ?
The first derivative of-2Ae^{-2x} is 4Ae^{-2x}