2. For the function : f(x) = x2 ? 30x ? 2
a) State where f is increasing and where f isdecreasing
b) Identify any local maximum or local minimum values.c) Describe where f is concave up or concave down d) Identify anypoints of inflection (in coordinate form)
3. For the function f (x)= x4 ? 50 2
a) Find the intervals where f is increasing and where fis decreasing.
b) Find any local extrema and state whether they are alocal max or a local min.
4. For the function: f(x) = x4 + 2x 3 ? 12x 2 ?24x
a) State the intervals where f is concave up and whereit is concave down
b) Find any points of inflection (in coordinateform).
5. For the function: f(x) = x4 + 5x 2
a) State the intervals where f is concave up and whereit is concave down
b) Find any points of inflection (in coordinateform).
*please show work*
