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

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

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

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

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

e^{3 x + 3} \cdot 3

Solution steps

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

Apply the chain rule:

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

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

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

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

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