# Is #f(x)=e^(3x)-2xlnx# concave or convex at #x=1#?

##### 1 Answer

Jul 2, 2017

Convex.

#### Explanation:

Concavity is determined by the second derivative (positive = convex, negative = concave). So we need to find the second derivative of

To find the concavity at

This is positive, so the function is convex.