5. Assume that f is diff on R s.t. f(0) = 0, ƒ(1) = 1, ƒ(2) that 3x € (0,2) s.t. f'(x) = (hint: MVT and IVT for der). 1 10* = 1. Show

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter5: Graphs And The Derivative
Section5.3: Higher Derivatives, Concavity, And The Second Derivative Test
Problem 63E
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5. Assume that f is diff on R s.t. f(0) = 0, f(1) = 1, ƒ(2)
0, ƒ(1) = 1, ƒ(2) = 1. Show
that 3x € (0, 2) s.t. f'(x) = 1. (hint: MVT and IVT for der).
10
Transcribed Image Text:5. Assume that f is diff on R s.t. f(0) = 0, f(1) = 1, ƒ(2) 0, ƒ(1) = 1, ƒ(2) = 1. Show that 3x € (0, 2) s.t. f'(x) = 1. (hint: MVT and IVT for der). 10
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