# Is #f(x)=e^x-x^2/(x-1)# concave or convex at #x=0#?

##### 1 Answer

Jul 9, 2018

The function is convex at

#### Explanation:

The derivative of a quotient is

The function is

The first derivative is

The second derivative is

When

As

graph{e^x-x^2/(x-1) [-14.24, 14.23, -7.12, 7.12]}