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

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

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

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

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

- e^{8 - x}

Solution steps

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

Apply the chain rule:

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

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

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

= e^{8 - x} (- 1)

Simplify

= - e^{8 - x}

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