Explanation Given: f ( x ) = x 3 + 4 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 + 4 x and c = − 1 . f ( c ) = f ( − 1 ) = ( − 1 ) 3 + 4 ( − 1 ) = − 1 − 4 = − 5 Therefore, f ′ ( − 1 ) = lim x → − 1 f ( x ) − f ( − 1 ) x − ( − 1 ) f ′ ( − 1 ) = lim x → − 1 [ x

11th Edition

ISBN: 9780135189405

Author: Michael Sullivan

Publisher: PEARSON

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Chapter 14.4, Problem 27AYU

To determine

To find: The derivative of $f (x) = x^{3} + 4 x$ at $- 1$ .

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Chapter 14.4, Problem 26AYU

Chapter 14.4, Problem 28AYU

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