What is the derivative of e^{x+4} ?

The derivative of e^{x+4} is e^{x+4}

What is the first derivative of e^{x+4} ?

The first derivative of e^{x+4} is e^{x+4}

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\frac{d}{d x} (e^{x + 4})

e^{x + 4}

Solution steps

\frac{d}{d x} (e^{x + 4})

Apply the chain rule:

e^{x + 4} \frac{d}{d x} (x + 4)

= e^{x + 4} \frac{d}{d x} (x + 4)

\frac{d}{d x} (x + 4) = 1

= e^{x + 4} \cdot 1

Simplify

= e^{x + 4}

What is the derivative of e^{x+4} ?
The derivative of e^{x+4} is e^{x+4}
What is the first derivative of e^{x+4} ?
The first derivative of e^{x+4} is e^{x+4}