What is the derivative of e^{jx} ?

The derivative of e^{jx} is e^{jx}j

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

The first derivative of e^{jx} is e^{jx}j

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

e^{j x} j

Solution steps

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

Apply the chain rule:

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

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

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

= e^{j x} j

What is the derivative of e^{jx} ?
The derivative of e^{jx} is e^{jx}j
What is the first derivative of e^{jx} ?
The first derivative of e^{jx} is e^{jx}j