# Is #f(x)=(1-e^x)/(1-x^2)# increasing or decreasing at #x=2#?

##### 1 Answer

Jun 28, 2016

the first derivative is negative. The function is decreasing.

#### Explanation:

The first derivative of f is

its sign is the same as the sign of its numerator which is

It is negative thus the function is decreasing at

graph{(1-e^x)/(1-x^2) [-10, 10, -5, 5]}