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

The derivative of-e^{3x} is -e^{3x}*3

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

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

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

- e^{3 x} \cdot 3

Solution steps

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

Take the constant out:

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

= - \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

= - e^{3 x} \cdot 3

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