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.