Prove that (x) = x 4 + 5x 3 + 4x has no root c satisfying c
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Prove that ƒ(x) = x4 + 5x3 + 4x has no root c satisfying c > 0. x = 0 is a root and apply Rolle’s Theorem.
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THEOREM 4 Rolle's Theorem Assume that f is continuous on [a, b] and differen- tiable on (a, b). If f(a) = f(b), then there exists a number c between a and b such that f'(c) = 0.
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We will proceed by contradiction Note that f0 0 and suppose that there ...View the full answer
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