What is the derivative of e^{nx} ?

The derivative of e^{nx} is e^{nx}n

What is the first derivative of e^{nx} ?

The first derivative of e^{nx} is e^{nx}n

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\frac{d}{d x} (e^{n x})

e^{n x} n

Solution steps

\frac{d}{d x} (e^{n x})

Apply the chain rule:

e^{n x} \frac{d}{d x} (n x)

= e^{n x} \frac{d}{d x} (n x)

\frac{d}{d x} (n x) = n

= e^{n x} n

What is the derivative of e^{nx} ?
The derivative of e^{nx} is e^{nx}n
What is the first derivative of e^{nx} ?
The first derivative of e^{nx} is e^{nx}n