What is the derivative of e^{3x}+1 ?

The derivative of e^{3x}+1 is 3e^{3x}

What is the first derivative of e^{3x}+1 ?

The first derivative of e^{3x}+1 is 3e^{3x}

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\frac{d}{d x} (e^{3 x} + 1)

3 e^{3 x}

Solution steps

\frac{d}{d x} (e^{3 x} + 1)

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (e^{3 x}) + \frac{d}{d x} (1)

\frac{d}{d x} (e^{3 x}) = e^{3 x} \cdot 3

\frac{d}{d x} (1) = 0

= e^{3 x} \cdot 3 + 0

Simplify

= 3 e^{3 x}

What is the derivative of e^{3x}+1 ?
The derivative of e^{3x}+1 is 3e^{3x}
What is the first derivative of e^{3x}+1 ?
The first derivative of e^{3x}+1 is 3e^{3x}