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

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

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

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

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derivative of

e^{3 x + 1}

e^{3 x + 1} \cdot 3

Solution steps

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

Apply the chain rule:

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

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

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

= e^{3 x + 1} \cdot 3

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