The function is .
Apply first derivative with respect to .
We find the relative extrema by equating .
Now, substitute in
.
Substitute in
.
The relative extrema points are and
.
Determine the relative extrema, using second derivative test.
\Apply first derivative with respect to .
Point | \![]() | \
![]() | \
Sign of ![]() | \
\
| \
\
| \
Conclusion | \Neither | \Relative minimum | \
So according to second derivative test the function has minimum point at .
The relative minimum at .