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In order to find the derivative of f(x) = -x³ we use the power rule, which states that the derivative of a function f(x)=ax", is f'(x) = n ax-1. So the derivative of f(x) is Evaluating this at the point a = 2 we find 3 f'(x) = (-1) x³-1 5 = 8 35 0100 3 1(2)-(2)-1 = 3 5(2)(2) 3 1058

In order to find the derivative of f(x) = -x³ we use the power rule, which states that the derivative of a function f(x)=ax", is f'(x) = n ax-1. So the derivative of f(x) is Evaluating this at the point a = 2 we find 3 f'(x) = (-1) x³-1 5 = 8 35 0100 3 1(2)-(2)-1 = 3 5(2)(2) 3 1058

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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In order to find the derivative of f(x) = − x ¯³ ³ ³ we use the power rule, which states that the derivative of a function, f(x) = ax", is f'(x) = n · ax-1. So the derivative of f(x) is 3 f'(x) = (-1) x³-1 3 Evaluating this at the point x = 2 we find (2)=응(2)-1 3 5(2)(2) 3 3 108
Transcribed Image Text:In order to find the derivative of f(x) = − x ¯³ ³ ³ we use the power rule, which states that the derivative of a function, f(x) = ax", is f'(x) = n · ax-1. So the derivative of f(x) is 3 f'(x) = (-1) x³-1 3 Evaluating this at the point x = 2 we find (2)=응(2)-1 3 5(2)(2) 3 3 108
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