CURAENT OBJKCTIVE

Determine when Newton's method does not work

Question

Using Newton's method, try to find a root of $f(x)=\frac{1}{3}{x}^3-\frac{15}{2}{x}^{2}44x-16$ using an initial approximation $x_0=6.$ Which of the following statements describes what happens?

Select the correct answer below:

At ene ef the sprevitutions $x_a,$ we have $f^{\text{'}}(x_a)=0$ but $\frac{?}{(x_a)}0.$

The approximations fall to approach a root at all.

The approximations approach a root outside the interval.

The approximations successfully approach the desired root.

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