Undergraduate

Explain why Newton's method doesn't work for finding the root of the equation x 3 3 x + 9 = 0 if the initial approximation

Explain why Newton's method doesn't work for finding the root of the equation
x33x +9=0
if the initial approximation is chosen to be
x1=1.
f(x)= x33x +9 f'(x)=
.
If
x1=1,
then
f'(x1)=
and the tangent line used for approximating
x2
is ---Select--- horizontal vertical . Attempting to find
x2
results in trying to ---Select--- multiply divide by zero.

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