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List the x values of all local maxima

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Reference no: EM132076816

Suppose that f(x)=x^4-3x^3. (A) List all the critical values of f(x). Note: If there are no critical values, enter 'NONE'.

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

Note: Use 'INF' for , '-INF' for -, and use 'U' for the union symbol.

Increasing:

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

Decreasing:

(D) List the x values of all local maxima of f(x). If there are no local maxima, enter 'NONE'.

x values of local maximums =

(E) List the x values of all local minima of f(x). If there are no local minima, enter 'NONE'.

x values of local minimums = (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) List the x values of all the inflection points of f. If there are no inflection points, enter 'NONE'.

x values of inflection points =

Reference no: EM132076816

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