Question: Sometimes the derivative of a function is known, but not the function. We will see more of this later. For each function f defined in
Sometimes the derivative of a function is known, but not the function. We will see more of this later. For each function f defined in Exercises, find f″(x) , then use a graphing calculator to graph f′ and f″ in the indicated window. Use the graph to do the following.
(a) Give the (approximate) x-values where f has a maximum or minimum.
(b) By considering the sign of f′(x), give the (approximate) intervals where f(x) is increasing and decreasing.
(c) Give the (approximate) x-values of any inflection points.
(d) By considering the sign of f′′(x), give the intervals where f is concave upward or concave downward.
ƒ′(x) = 10x2(x - 1)(5x - 3); [-1, 1.5] by [-20, 20]
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Graph f in window 1 15 by 2 2 Xscl 01 This window does not give a good view of the graph of f so we ... View full answer
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