Suppose that has a positive derivative for all values of x and that (1) = 0.
Question:
Suppose that ƒ has a positive derivative for all values of x and that ƒ(1) = 0. Which of the following statements must be true of the function
Give reasons for your answers.
a. g is a differentiable function of x.
b. g is a continuous function of x.
c. The graph of g has a horizontal tangent at x = 1.
d. g has a local maximum at x = 1.
e. g has a local minimum at x = 1.
f. The graph of g has an inflection point at x = 1.
g. The graph of dg/dx crosses the x-axis at x = 1.
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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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