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Suppose that f(x)=x^[1/3](x+3)^[2/3]

(A) Find all critical values of f. If there are no critical values, enter None . 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.
Decreasing:
(D) Find the x-coordinates of all local maxima and minima of f
(E) Use interval notation to indicate where f(x) is concave up and concave down.
(F) Find all inflection points of f.

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  1. A company that uses the perpetual inventory system purchased $8,500 on September 25. Terms of the purchase were 2/10, n/30. The invoice was paid in full October 4. Prepare the journal entries to record these merchandise transactions.

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  2. f' = (x+1) / ∛(x^2(x+1))
    f" = -2/∛(x^5(x+1)^4)
    Now use what you know about the values and signs of f' and f" to answer the questions.

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