question archive Suppose thatf(x) = x^4 − 3x^3 (A) Find all critical values

Suppose thatf(x) = x^4 − 3x^3 (A) Find all critical values

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Suppose thatf(x) = x^4 − 3x^3

(A) Find all critical values. If there are no critical values, enter -1000. If there are more than one, enter them separated by commas.

Critical value(s) =

(B) Use interval notation to indicate where f(x) is increasing.

(C) Use interval notation to indicate where f(x) is decreasing.

(D) Find the x-coordinates of all local maxima of f. I

(E) Find the x-coordinates of all local minima of f

(F) Use interval notation to indicate where f(x) is concave up.

(G) Use interval notation to indicate where f(x)

f(x) is concave down.

(H) Find all inflection points of f

(I) Use all of the preceding information to sketch a graph of f

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