Question

Find the derivative of the function: y = e^(9 − x)

Answer 1

you can start by taking the natural log of both sides,
\[ y = e^{9 − x}\]
\[\ln(y)=9-x\]
Differentiate it
\[\frac{1}{y}\frac{dy}{dx}=-1 \\ \\ \frac{dy}{dx}=-y\]
Substitute y = e^(9 − x) into that will give you the derivative of y

Answer 2

Thank you!!