(Continuation of 54) You may remember thatthe Second Derivative test tells us nothing
Chapter 10, Problem 55(choose chapter or problem)
(Continuation of 54) You may remember thatthe Second Derivative test tells us nothing when the secondderivative is zero at the critical point. In this problemyou will investigate that special case.Assume g has the same properties as in 54,and that, in addition, g(0) = 0. What does the Taylorpolynomial tell you about whether g has a local maximumor minimum at x = 0?
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