Question: Consider the cubic function (x) = ax 3 + bx 2 + cx + d. a. Show that can have 0, 1, or 2

Consider the cubic function ƒ(x) = ax3 + bx2 + cx + d.

a. Show that ƒ can have 0, 1, or 2 critical points. Give examples and graphs to support your argument.

b. How many local extreme values can ƒ have?

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a The critical points of are the points where the derivative x 3ax2 2bx c is equal to zero Therefore ... View full answer

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