(a) Find the slope of the tangent line to the parabola y = x2 + 7x at the point (-2, -10) by using the following parameters. f(x) – f(a) (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 provided that this limit exists. Xa X - a m = f(a + h) – f(a) (ii) The expression of slope is m = lim h-0 h m = (b) Find an equation of the tangent line in part (a). y =

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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(a) Find the slope of the tangent line to the parabola y =
x + 7x at the point (-2, –10) by using the following parameters.
f(x) – f(a)
(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
provided that this limit exists.
х — а
m =
f(a + h) – f(a)
(ii) The expression of slope is m = lim
h→0
m =
(b) Find an equation of the tangent line in part (a).
y =
Transcribed Image Text:(a) Find the slope of the tangent line to the parabola y = x + 7x at the point (-2, –10) by using the following parameters. f(x) – f(a) (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 provided that this limit exists. х — а m = f(a + h) – f(a) (ii) The expression of slope is m = lim h→0 m = (b) Find an equation of the tangent line in part (a). y =
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