One interesting property of the function $f(x)=e^{x}$ is that its rate of change for any value $x$ is simply equal to $e^{x}$. Find the rate of change of $f(x)=e^{x}$ for the given value of $x$. Round to the nearest hundredth.
-$x=-4$
A) 0.02
B) 1.39
C) 0.14
D) 54.60

Question

Quizplus · Accepted Answer

The rate of change of $f(x) = e^x$ at any point is given by its derivative, which is also $e^x$. For $x = -4$, the rate of change is $e^{-4} \approx 0.018$, which rounds to 0.02.

One Interesting Property of the Function f(x)=exf(x)=e^{x}f(x)=ex Is That Its Rate of Change for Any Value

One Interesting Property of the Function $f(x)=e^{x}$ Is That Its Rate of Change for Any Value