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Use a computer algebra system to graph f and to find f ' and f ''. Use graphs...

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Advance Math

Use a computer algebra system to graph f and to findf ' and f ''. Use graphs of these derivatives tofind the following. (Enter your answers using interval notation.Round your answers to two decimal places.)

f(x) =

x3 + 5x2 + 1
x4 + x3 − x2 + 2

The intervals where the function is increasing.

The intervals where the function is decreasing.


The local maximum values of the function. (Enter your answers as acomma-separated list.)

The local minimum values of the function. (Enter your answers as acomma-separated list.)


The inflection points of the function.

The intervals where the function is concave up.


The intervals where the function is concave down.

Answer & Explanation Solved by verified expert
3.7 Ratings (577 Votes)
Increasing Intervals The derivative of afunction may be used to determine whether the function isincreasing at any intervals in its domain If fx 0 then fis increasing on the intervalDecreasing    See Answer
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