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The tangent line to the graph of f(x) at x = 0 is shown. On the tangent line, Pis the point of tangency and A is another point on the line. y 2 -5 -4 -3 -2 -1 (a) Find the coordinates of the points Pand A. P(x, y) = A(x, y) = (b) Use the coordinates of P and A to find the slope of the tangent line. (Give an exact answer. Do not round.) (c) Find f'(0). (Give an exact answer. Do not round.)

The tangent line to the graph of f(x) at x = 0 is shown. On the tangent line, Pis the point of tangency and A is another point on the line. y 2 -5 -4 -3 -2 -1 (a) Find the coordinates of the points Pand A. P(x, y) = A(x, y) = (b) Use the coordinates of P and A to find the slope of the tangent line. (Give an exact answer. Do not round.) (c) Find f'(0). (Give an exact answer. Do not round.)

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Polynomial Functions
Section: Chapter Questions
Problem 10PS
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The tangent line to the graph of f(x) at x = 0 is shown. On the tangent line, Pis the point of tangency and A is another point on the line. y -5 -4 -3 -2 -1 (a) Find the coordinates of the points Pand A. P(x, y) = A(x, y) = (b) Use the coordinates of P and A to find the slope of the tangent line. (Give an exact answer. Do not round.) (c) Find f'(0). (Give an exact answer. Do not round.) (d) Find the instantaneous rate of change of fx) at P. (Give an exact answer. Do not round.)
Transcribed Image Text:The tangent line to the graph of f(x) at x = 0 is shown. On the tangent line, Pis the point of tangency and A is another point on the line. y -5 -4 -3 -2 -1 (a) Find the coordinates of the points Pand A. P(x, y) = A(x, y) = (b) Use the coordinates of P and A to find the slope of the tangent line. (Give an exact answer. Do not round.) (c) Find f'(0). (Give an exact answer. Do not round.) (d) Find the instantaneous rate of change of fx) at P. (Give an exact answer. Do not round.)
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