All the derivatives of g exist at x = 0 and g has a criticalpoint at x = 0.(a) Write the

Chapter 10, Problem 54

(choose chapter or problem)

All the derivatives of g exist at x = 0 and g has a criticalpoint at x = 0.(a) Write the nth Taylor polynomial for g at x = 0.(b) What does the Second Derivative test for local maximaand minima say?(c) Use the Taylor polynomial to explain why the SecondDerivative test works.

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