Explanation Given: f ( x ) = x 3 + x 2 − 2 x c = 1 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 3 + x 2 − 2 x and c = 1 . f ( c ) = f ( 1 ) = 1 3 + 1 2 − 2 ( 1 ) = 2 − 2 = 0 Therefore, f ′ ( 1 ) = lim x → 1 f ( x ) − f ( 1 ) x − 1 f ′ ( 1 ) = lim x → 1 ( x 3 + x 2 − 2 x ) ...

11th Edition

ISBN: 9780135228982

Author: Sullivan

Publisher: PEARSON

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Chapter 14.4, Problem 29AYU

To determine

To find: The derivative of $f (x) = x^{3} + x^{2} - 2 x$ at 1.

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Chapter 14.4, Problem 28AYU

Chapter 14.4, Problem 30AYU

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