# Is #f(x) =e^xsinx-cosx# concave or convex at #x=pi/3#?

##### 1 Answer

Concave up (my naming convention is different to yours, will explain further in explanation)

#### Explanation:

Obtain

Obtain

Evaluate

Clearly

Note that the naming convention I learnt was concave up and concave down, so I am not sure which is concave or convex in your terms.

Graphing the original fucntion is a good way to check your answer, at

graph{e^x*sinx-cosx [-3, 3, -5, 5]}