This is Calculus 1
- Please Answered Correctly This Is Calculus 1 1 (59.08 KiB) Viewed 10 times
Please, answered correctly This is Calculus 1
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Please, answered correctly This is Calculus 1
Please, answered correctly
This is Calculus 1
Consider the following function. f(x) = 1x2/3 Find f(-1) and f(1). f(-1) = f(1) = Find all values c in (-1, 1) such that f'(c) = 0. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) C= Based off of this information, what conclusions can be made about Rolle's Theorem? O This contradicts Rolle's Theorem, since f is differentiable, f(-1) = f(1), and f'(c) = 0 exists, but c is not in (-1, 1). O This does not contradict Rolle's Theorem, since f'(0) = 0, and 0 is in the interval (-1, 1). O This contradicts Rolle's Theorem, since f(-1) = f(1), there should exist a number c in (-1, 1) such that f'(c) = 0. O This does not contradict Rolle's Theorem, since f'(0) does not exist, and so f is not differentiable on (-1, 1). O Nothing can be concluded.
This is Calculus 1
Consider the following function. f(x) = 1x2/3 Find f(-1) and f(1). f(-1) = f(1) = Find all values c in (-1, 1) such that f'(c) = 0. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) C= Based off of this information, what conclusions can be made about Rolle's Theorem? O This contradicts Rolle's Theorem, since f is differentiable, f(-1) = f(1), and f'(c) = 0 exists, but c is not in (-1, 1). O This does not contradict Rolle's Theorem, since f'(0) = 0, and 0 is in the interval (-1, 1). O This contradicts Rolle's Theorem, since f(-1) = f(1), there should exist a number c in (-1, 1) such that f'(c) = 0. O This does not contradict Rolle's Theorem, since f'(0) does not exist, and so f is not differentiable on (-1, 1). O Nothing can be concluded.