In: Math
Let f(x) = x^4 - 4x^3 - 18 x^2 + 77
a) a) Find all critical values of the function. [10]
b) b) Find all intervals of increase and decrease. [10]
c) Find all relative extrema. Use the second derivative test.
Label each as a relative max. or a relative min. [10]
d) d) Find on what interval(s) the function is concave up and concave down. [10]
e) e) Find all inflection point(s), if any, of the function. [10]