Step 1:
\The function is .
Differentiate with respect to .
Find the critical number by equating to zero.
Step 2:
\Critical point is .
Since the function is cube root function, So we do not consider negative values of .
Test intervals are .
Interval | \Test Value | \Sign of ![]() | \
Conclusion | \
![]() | \
![]() | \
\
\ | \
Decreasing | \
![]() | \
![]() | \
\
\ | \
Increasing | \
Thus, the function is decreasing on the interval and increasing on the interval
.
Solution:
\The function is increasing on interval
.
\
\
\
\