Explanation Given: f ( x ) = x 2 − 3 c = 0 Formula used: The derivative of y = f ( x ) at c is given by: f ′ ( c ) = lim x → c f ( x ) − f ( c ) x − c Calculation: Here, f ( x ) = x 2 − 3 and c = 0 . f ( c ) = f ( 0 ) = 0 2 − 3 = 0 − 3 = − 3 Therefore, f ′ ( 0 ) = lim x → 0 f ( x ) − f ( 0 ...

11th Edition

ISBN: 9780135189405

Author: Michael Sullivan

Publisher: PEARSON

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Chapter 14.4, Problem 23AYU

To determine

To find: The derivative of $f (x) = x^{2} - 3$ at 0.

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Chapter 14.4, Problem 22AYU

Chapter 14.4, Problem 24AYU

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