What is the derivative of y=e^{9-x} ?

The derivative of y=e^{9-x} is -e^{9-x}

What is the first derivative of y=e^{9-x} ?

The first derivative of y=e^{9-x} is -e^{9-x}

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derivative of

y = e^{9 - x}

- e^{9 - x}

Solution steps

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

Apply the chain rule:

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

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

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

= e^{9 - x} (- 1)

Simplify

= - e^{9 - x}

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What is the derivative of y=e^{9-x} ?
The derivative of y=e^{9-x} is -e^{9-x}
What is the first derivative of y=e^{9-x} ?
The first derivative of y=e^{9-x} is -e^{9-x}