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

The derivative of e^{3x-2} is e^{3x-2}*3

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

The first derivative of e^{3x-2} is e^{3x-2}*3

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

e^{3 x - 2} \cdot 3

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (3 x - 2) = 3

= e^{3 x - 2} \cdot 3

What is the derivative of e^{3x-2} ?
The derivative of e^{3x-2} is e^{3x-2}*3
What is the first derivative of e^{3x-2} ?
The first derivative of e^{3x-2} is e^{3x-2}*3