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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derivative of

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} \cdot 3

Simplify

= 6 e^{3 x}

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}