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Find the equation of the secant line on the curve f(x) = -x²+2 passing through the points xo = -1 and r1 = of f. 2, and show this line on the graph

Find the equation of the secant line on the curve f(x) = -x²+2 passing through the points xo = -1 and r1 = of f. 2, and show this line on the graph

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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Find the equation of the secant line on the curve f(x) = -x2 +2 passing through the points xo = -1 and r1 of f. 2, and show this line on the graph
Transcribed Image Text:Find the equation of the secant line on the curve f(x) = -x2 +2 passing through the points xo = -1 and r1 of f. 2, and show this line on the graph
Consider the function f(x) = 2x2 + 3. (a) Find the derivative of ƒ with respect to x. (b) Use the above result to find the instantaneous rate of change of f at x = -2 and interpret it. (c) Find the equation of the tangent line at x = -2.
Transcribed Image Text:Consider the function f(x) = 2x2 + 3. (a) Find the derivative of ƒ with respect to x. (b) Use the above result to find the instantaneous rate of change of f at x = -2 and interpret it. (c) Find the equation of the tangent line at x = -2.
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