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Math · Calculus
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1-Find the local maximum value of f using both the First and Second Derivative Tests.

f(x) = x + √4 - x

2-Consider the equation below. (If you need to use -∞ or ∞, enter -INFINITY or INFINITY.)

f(x) = 2x3 + 3x2 − 72x

(a) Find the intervals on which f is increasing. (Enter the interval that contains smaller numbers first.)
(  ,  ) ∪ (  ,  )

Find the interval on which f is decreasing.
(  ,  ) (b) Find the local minimum and maximum values of f.
(min)
(max) (c) Find the inflection point.
(  ,  )

Find the interval on which f is concave up.
(  ,  )

Find the interval on which f is concave down.
(  ,  )

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