Let be differentiable at every value of x and suppose that (1) = 1, that
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Let ƒ be differentiable at every value of x and suppose that ƒ(1) = 1, that ƒ′ < 0 on (-∞, 1), and that ƒ′ > 0 on (1, ∞).
a. Show that ƒ(x) ≥ 1 for all x.
b. Must ƒ′(1) = 0? Explain.
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a Since 0 on 1 is decreasing on this interval Similarly since 0 ...View the full answer
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Related Book For
Thomas Calculus Early Transcendentals
ISBN: 9780321884077
13th Edition
Authors: Joel R Hass, Christopher E Heil, Maurice D Weir
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