Problem 8. Let f(x) be a differentiable function and suppose that f(2) = 4 and f'(x) > 6 for r in the interval [2, 3]. How small can f(3) possibly be?

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.2: Introduction To Conics: parabolas
Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.
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Problem 8.
Let f(x) be a differentiable function and suppose that f(2) = 4 and f'(x) > 6 for x in the
interval [2, 3]. How small can f(3) possibly be?
Transcribed Image Text:Problem 8. Let f(x) be a differentiable function and suppose that f(2) = 4 and f'(x) > 6 for x in the interval [2, 3]. How small can f(3) possibly be?
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