# For what values of x is #f(x)=-x^2+e^x# concave or convex?

##### 1 Answer

Mar 25, 2018

#### Explanation:

Determining concavity requires finding

To determine where this is positive or negative, let's set

Let's split up the domain of

**Thus, since #f''(x)<0# on #(-oo, ln(2)), f(x)# is convex on #(-oo, ln(2))#.**

**Thus, since #f''(x)>0# on #(ln(2), oo), f(x)# is concave on #(ln(2), oo)#.**