Consider the curve y = x2 – 3x + 8. (a) Find the slope of the secant line to the curve through the points P= (4, 12) and Q = (4+ h, (4 + h)² – 3(4 +h) + 8). %3D - The slope of the secant line is h+5 (b) Use your answer from part (a) to find the slope of the curve at the point P. The slope of the curve at P is (c) Write an equation of the tangent line to the curve at P. The equation of the tangent line at P is 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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Consider the curve
y = x2 – 3x + 8.
(a) Find the slope of the secant line to the curve through the points P =
(4, 12) and
Q = (4+ h, (4+ h)° – 3(4+ h) + 8).
The slope of the secant line ish+5
(b) Use
your answer from
part (a) to find the slope of the curve at the point P.
The slope of the curve at P is
(c) Write an equation of the tangent line to the curve at P.
The equation of the tangent line at P is y=
62°
F8
F9
F10
Transcribed Image Text:Consider the curve y = x2 – 3x + 8. (a) Find the slope of the secant line to the curve through the points P = (4, 12) and Q = (4+ h, (4+ h)° – 3(4+ h) + 8). The slope of the secant line ish+5 (b) Use your answer from part (a) to find the slope of the curve at the point P. The slope of the curve at P is (c) Write an equation of the tangent line to the curve at P. The equation of the tangent line at P is y= 62° F8 F9 F10
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