What is the derivative of e^{x+8} ?

The derivative of e^{x+8} is e^{x+8}

What is the first derivative of e^{x+8} ?

The first derivative of e^{x+8} is e^{x+8}

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\frac{d}{d x} (e^{x + 8})

e^{x + 8}

Solution steps

\frac{d}{d x} (e^{x + 8})

Apply the chain rule:

e^{x + 8} \frac{d}{d x} (x + 8)

= e^{x + 8} \frac{d}{d x} (x + 8)

\frac{d}{d x} (x + 8) = 1

= e^{x + 8} \cdot 1

Simplify

= e^{x + 8}

What is the derivative of e^{x+8} ?
The derivative of e^{x+8} is e^{x+8}
What is the first derivative of e^{x+8} ?
The first derivative of e^{x+8} is e^{x+8}