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

The derivative of-e^{2x} is -e^{2x}*2

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

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

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

- e^{2 x} \cdot 2

Solution steps

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

Take the constant out:

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

= - \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

= - e^{2 x} \cdot 2

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