# How to find instantaneous rate of change for #f(x)=e^{x}# at x=1?

##### 1 Answer

Nov 23, 2016

The instantaneous rate of change is also known as the derivative. It is analogous to the slope of the tangent line at a point, as well.

We might say that the instantaneous rate of change of

Here, we have to know that the derivative of

#f(x)=e^x" "=>" "f'(x)=e^x#

So, the instantaneous rate of change of

#f'(x)=e^x" "=>" "f'(1)=e^1=e#

The instantaneous rate of change of