The curve is and
and
.
Consider .
Apply derivative on each side with respect to .
. \ \
Consider .
Apply derivative on each side with respect to .
.
Find .
.
Find .
.
Consider .
Concave upwards
Multiplying by negative sign will reverse the inequality.
\Secant value is negative in second and third quadrant.
\The interval of the function is .
Hence, the curve is concave upwards in .
and
.
The curve is concave upwards in .