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Use the limit definition to find the slope of the tangent line to the graph of f at the given point. See Examples 3, 4, and 5. f(x) = 4; (3, 4) Step 1 Recall that the slope of a secant line on a graph from a given point, x, to some point that is Ax away from x is given by the following. f(x + Ax)-f(x) Ax m sec The slope of the tangent line at the point x is then found by taking the limit of the slope of the secant line as A → 0. We will first determine msec for f(x) = 4 at the point (-3, 4). = = m sec = 4 f(x + Ax)-f(x) Ax f(-3 + Ax)-f( [ Ax Ax

Use the limit definition to find the slope of the tangent line to the graph of f at the given point. See Examples 3, 4, and 5. f(x) = 4; (3, 4) Step 1 Recall that the slope of a secant line on a graph from a given point, x, to some point that is Ax away from x is given by the following. f(x + Ax)-f(x) Ax m sec The slope of the tangent line at the point x is then found by taking the limit of the slope of the secant line as A → 0. We will first determine msec for f(x) = 4 at the point (-3, 4). = = m sec = 4 f(x + Ax)-f(x) Ax f(-3 + Ax)-f( [ Ax Ax

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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Use the limit definition to find the slope of the tangent line to the graph of fat the given point. See Examples 3, 4, and 5. f(x) = 4; (-3, 4) Step 1 Recall that the slope of a secant line on a graph from a given point, x, to some point that is Ax away from x is given by the following. f(x + Ax) - f(x) Ax m sec The slope of the tangent line at the point x is then found by taking the limit of the slope of the secant line as A→0. We will first determine msec for f(x) = 4 at the point (-3, 4). = = m sec = = f(x + Ax) = f(x) Ax f(-3 + Ax) - Ax Ax
Transcribed Image Text:Use the limit definition to find the slope of the tangent line to the graph of fat the given point. See Examples 3, 4, and 5. f(x) = 4; (-3, 4) Step 1 Recall that the slope of a secant line on a graph from a given point, x, to some point that is Ax away from x is given by the following. f(x + Ax) - f(x) Ax m sec The slope of the tangent line at the point x is then found by taking the limit of the slope of the secant line as A→0. We will first determine msec for f(x) = 4 at the point (-3, 4). = = m sec = = f(x + Ax) = f(x) Ax f(-3 + Ax) - Ax Ax
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