Suppose that f(x)=2x^2ln(x) x>0
(A) Find all critical values of f, compute their average, and enter it below.
Note: If there are no critical values, enter -1000.
Average of critical values =
(B) Use interval notation to indicate where f(x) is increasing.
Note: Enter 'I' for , '-I' for -, and 'U' for the union symbol.
If you have extra boxes, fill each in with an 'x'.
Increasing:
(C) Use interval notation to indicate where f(x) is decreasing.
Decreasing:
(D) Find the x-coordinates of all local maxima of f, compute their average, and enter it below.
Note: If there are no local maxima, enter -1000.
Average of x values =
(E) Find the x-coordinates of all local minima of f, compute their average, and enter it below.
Note: If there are no local minima, enter -1000.
Average of x values =
(F) Use interval notation to indicate where f(x) is concave up.
Concave up:
(G) Use interval notation to indicate where f(x) is concave down.
Concave down:
(H) Find all inflection points of f, compute their average, and enter it below.
Note: If there are no inflection points, enter -1000.
Average of inflection points =