Step 1:

The function

Differentiate with respect to .

Apply Product rule in derivatives

Step 2:

Substitute the value in original function.

Substitute the value of  .

Relative extrema at .

Step 2:

Determine the relative extrema, using second derivative test.

Apply derivative with respect to .

Point
Sign of	\   \ \
Conclusion	Relative minimum

The relative minimum at .

Step 3:

Again differentiate with respect to .

The second derivative of the function is never zero.

The second derivative is undefined at .

0 is not in the domain of the original function .

Therefore, there are no inflection points due to the fact that the original function is not defined at 0.