What is the derivative of e^{xa} ?

The derivative of e^{xa} is e^{xa}a

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

The first derivative of e^{xa} is e^{xa}a

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

e^{x a} a

Solution steps

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

Apply the chain rule:

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

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

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

= e^{x a} a

What is the derivative of e^{xa} ?
The derivative of e^{xa} is e^{xa}a
What is the first derivative of e^{xa} ?
The first derivative of e^{xa} is e^{xa}a