What is the derivative of f(x)=e^{x+9}+9 ?

The derivative of f(x)=e^{x+9}+9 is e^{x+9}

What is the first derivative of f(x)=e^{x+9}+9 ?

The first derivative of f(x)=e^{x+9}+9 is e^{x+9}

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derivative of

f (x) = e^{x + 9} + 9

e^{x + 9}

Solution steps

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

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

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

\frac{d}{d x} (9) = 0

= e^{x + 9} + 0

Simplify

= e^{x + 9}

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What is the derivative of f(x)=e^{x+9}+9 ?
The derivative of f(x)=e^{x+9}+9 is e^{x+9}
What is the first derivative of f(x)=e^{x+9}+9 ?
The first derivative of f(x)=e^{x+9}+9 is e^{x+9}