What is the derivative of 2e^{6x} ?

The derivative of 2e^{6x} is 12e^{6x}

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

The first derivative of 2e^{6x} is 12e^{6x}

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\frac{d}{d x} (2 e^{6 x})

12 e^{6 x}

Solution steps

\frac{d}{d x} (2 e^{6 x})

Take the constant out:

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

= 2 \frac{d}{d x} (e^{6 x})

Apply the chain rule:

e^{6 x} \frac{d}{d x} (6 x)

= e^{6 x} \frac{d}{d x} (6 x)

\frac{d}{d x} (6 x) = 6

= 2 e^{6 x} \cdot 6

Simplify

= 12 e^{6 x}

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What is the derivative of 2e^{6x} ?
The derivative of 2e^{6x} is 12e^{6x}
What is the first derivative of 2e^{6x} ?
The first derivative of 2e^{6x} is 12e^{6x}