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Let (-9x2 + 4x for x < 0, f(x) = |7x² – 2 for x > 0. According to the alternate form of the definition of the derivative, to compute f'(0), v need to compute the left-hand limit lim x0- which is and the right-hand limit lim which is We conclude that f'(0) is Note: If a limit or derivative is undefined, enter 'undefined' as your answer.

Let (-9x2 + 4x for x < 0, f(x) = |7x² – 2 for x > 0. According to the alternate form of the definition of the derivative, to compute f'(0), v need to compute the left-hand limit lim x0- which is and the right-hand limit lim which is We conclude that f'(0) is Note: If a limit or derivative is undefined, enter 'undefined' as your answer.

Calculus For The Life Sciences
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.
Chapter4: Calculating The Derivative
Section4.CR: Chapter 4 Review
Problem 2CR: Determine whether each of the following statements is true or false, and explain why. The derivative...
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Let - 9x2 + 4x for x 7x2 0, for x > 0. f(x) 2 According to the alternate form of the definition of the derivative, to compute f'(0), we need to compute the left-hand limit lim x→0- which is and the right-hand limit lim x→0+ which is We conclude that f'(0) is Note: If a limit or derivative is undefined, enter 'undefined' as your answer.
Transcribed Image Text:Let - 9x2 + 4x for x 7x2 0, for x > 0. f(x) 2 According to the alternate form of the definition of the derivative, to compute f'(0), we need to compute the left-hand limit lim x→0- which is and the right-hand limit lim x→0+ which is We conclude that f'(0) is Note: If a limit or derivative is undefined, enter 'undefined' as your answer.
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