(a) Find an interval [a,b] on whichf(x) = x4 + x3 x2 + x 2satisfies the hypotheses of
Chapter 4, Problem 9(choose chapter or problem)
(a) Find an interval \([a, b]\) on which
\(f(x)=x^{4}+x^{3}-x^{2}+x-2\)
satisfies the hypotheses of Rolle's Theorem.
(b) Generate the graph of \(f^{\prime}(x)\), and use it to make rough estimates of all values of c in the interval obtained in part (a) that satisfy the conclusion of Rolle's Theorem.
(c) Use Newton's Method to improve on the rough estimates obtained in part (b).
Equation Transcription:
Text Transcription:
[a,b]
f(x)=x^4+x^3-x^2+x-2
f'(x)
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