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
.