What is the derivative of e^{3x+2}+5 ?

The derivative of e^{3x+2}+5 is 3e^{3x+2}

What is the first derivative of e^{3x+2}+5 ?

The first derivative of e^{3x+2}+5 is 3e^{3x+2}

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derivative

3 e^{3 x + 2}

Solution steps

\frac{d}{d x} (e^{3 x + 2} + 5)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (e^{3 x + 2}) + \frac{d}{d x} (5)

\frac{d}{d x} (e^{3 x + 2}) = e^{3 x + 2} \cdot 3

\frac{d}{d x} (5) = 0

= e^{3 x + 2} \cdot 3 + 0

Simplify

= 3 e^{3 x + 2}

What is the derivative of e^{3x+2}+5 ?
The derivative of e^{3x+2}+5 is 3e^{3x+2}
What is the first derivative of e^{3x+2}+5 ?
The first derivative of e^{3x+2}+5 is 3e^{3x+2}