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Find the slope of the tangent line to the parabola y = x² + 7x at the point (-3, -12) by using the following parameters. (i) The tangent line to the curve y = f(x) at the point P(a, f(a)) is the line through P with slope m = lim f(x) = f(a) provided that this limit exists. x-a x-a x m= (ii) The expression of slope is m = lim h-0 m f(a+h)-f(a) h (b) Find an equation of the tangent line in part (a).

Find the slope of the tangent line to the parabola y = x² + 7x at the point (-3, -12) by using the following parameters. (i) The tangent line to the curve y = f(x) at the point P(a, f(a)) is the line through P with slope m = lim f(x) = f(a) provided that this limit exists. x-a x-a x m= (ii) The expression of slope is m = lim h-0 m f(a+h)-f(a) h (b) Find an equation of the tangent line in part (a).

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 slope of the tangent line to the parabola y = x² + 7x at the point (-3, -12) by using the following parameters. (i) The tangent line to the curve y = f(x) at the point P(a, f(a)) is the line through P with slope m = lim x→a X m = (ii) The expression of slope is m = lim_ f(a + h) − f(a) h→0 h y = m = (b) Find an equation of the tangent line in part (a). f(x) = f(a) X-a provided that this limit exists.
Transcribed Image Text:Find the slope of the tangent line to the parabola y = x² + 7x at the point (-3, -12) by using the following parameters. (i) The tangent line to the curve y = f(x) at the point P(a, f(a)) is the line through P with slope m = lim x→a X m = (ii) The expression of slope is m = lim_ f(a + h) − f(a) h→0 h y = m = (b) Find an equation of the tangent line in part (a). f(x) = f(a) X-a provided that this limit exists.
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