Analysis Let a < b. Suppose a function f is defined on [a, b] and the derivative f ′(x) exists for all x ∈[a, b]. If f ′

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answerhappygod
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Analysis Let a < b. Suppose a function f is defined on [a, b] and the derivative f ′(x) exists for all x ∈[a, b]. If f ′

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Analysis
Let a < b. Suppose a function f is defined on [a, b] and the
derivative f ′(x) exists for all x ∈[a, b]. If f ′(a) < 0 and f
′(b) > 0. Show that there exists a point c, a < c < b,
such that f ′(c) = 0.
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