Let f :-1, 1] -→ R be a three times differentiable function such that f(-1) = 0, f(0) = 0, f(1) = 1 and f' (0) = 0. Prove that f" (c) > 3 for some c E (-1, 1). %3D
Let f :-1, 1] -→ R be a three times differentiable function such that f(-1) = 0, f(0) = 0, f(1) = 1 and f' (0) = 0. Prove that f" (c) > 3 for some c E (-1, 1). %3D
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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![Let f : [-1, 1] –→ R be a three times differentiable function such that
f(-1) = 0, f(0) =
= 0, f(1) = 1 and f'(0) = 0.
Prove that f" (c) > 3 for somecE (-1,1).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8ea8db33-41da-44d5-9ec0-217182ee6fac%2F6d04ff21-076b-4985-9504-7cb5d9d71684%2Fxt75o9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let f : [-1, 1] –→ R be a three times differentiable function such that
f(-1) = 0, f(0) =
= 0, f(1) = 1 and f'(0) = 0.
Prove that f" (c) > 3 for somecE (-1,1).
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