Suppose that f(x)=10x−5ln(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. Increasing: ________________ (C) Use interval notation to indicate where f(x) is decreasing. Decreasing: ___________________
Suppose that
(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.
Increasing: ________________
(C) Use interval notation to indicate where f(x) is decreasing.
Decreasing: ___________________
(D) Find the x-coordinates of all
Note: If there are no local maxima, enter -1000.
Average of x values =______________________.
(E) Find the x-coordinates of all
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 =________________
(I) Use all of the preceding information to sketch a graph of f. When you're finished, enter a "1" in the box below.
Graph Complete:__________________
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