What is the derivative of e^{x+9} ?

The derivative of e^{x+9} is e^{x+9}

What is the first derivative of e^{x+9} ?

The first derivative of e^{x+9} is e^{x+9}

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derivative of

e^{x + 9}

e^{x + 9}

Solution steps

\frac{d}{d x} (e^{x + 9})

Apply the chain rule:

e^{x + 9} \frac{d}{d x} (x + 9)

= e^{x + 9} \frac{d}{d x} (x + 9)

\frac{d}{d x} (x + 9) = 1

= e^{x + 9} \cdot 1

Simplify

= e^{x + 9}

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What is the derivative of e^{x+9} ?
The derivative of e^{x+9} is e^{x+9}
What is the first derivative of e^{x+9} ?
The first derivative of e^{x+9} is e^{x+9}