\
The volume of the water at temperature
is
.
Domain of the volume function is
to
.
Differentiate the function
with respect to temperature
.
Use the quadratic formula to find where the function is zero.
\
.
.
Here,
is with in the domain.
Hence maximum density occurs at this point.
\Maximum density occurs at the temperature
C.
\
Maximum density occurs at the temperature
C.