\"\"

\

(a)

\

The function is \"\" over \"\".

\

Apply derivative with respect to \"\".

\

\"\"

\

\"\"

\

(b)

\

Graph :

\

Graph the function \"\" and its derivative \"\".

\

\"\"

\

\"\"

\

(c)

\

The function is \"\".

\

Find the critical numbers by applying derivative .

\

\"\"

\

Equate it to zero.

\

\"\"

\

The critical numbers are \"\" and \"\".

\

\"\"

\

(d)

\

Consider the test intervals to find the interval of increasing and decreasing in \"\".

\

Test intervals are \"\", \"\", \"\" and \"\".

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \
Test intervalTest valueSign of \"\"Conclusion
\"\"\"\" \

\"\"

\
  Increasing
\"\"\"\" \

\"\"

\
\

Decreasing

\
\"\"\"\" \

\"\"

\
Increasing
\"\"\"\" \

\"\"

\
Decreasing
\

 \"\" is positive on the intervals \"\" and \"\".

\

\"\" is negative on the interval \"\" and \"\".

\

\"\"

\

(a) The differentiation of the function is \"\".

\

(b)

\

\"\"

\

(c) Critical numbers are \"\" and \"\".

\

(d)

\

 \"\" is positive on the intervals \"\" and \"\".

\

\"\" is negative on the interval \"\" and \"\".