Consider the following. Function Line f(x) = x³ 3x-y + 8 = 0 Find the slope of the given line. slope =3x Determine the slope of any line parallel to the given line. slope =3x Find f'(x). f'(x) = 3x² Two lines are tangent to the graph of f(x) and parallel to the given line. Find the point of tangency for each line. (x, y) = (smaller x-value) (x, y) = (larger x-value) Find equations for the two lines tangent to the graph of f(x) and parallel to the given line. y = (smaller y-intercept) y = (larger y-intercept)
Consider the following. Function Line f(x) = x³ 3x-y + 8 = 0 Find the slope of the given line. slope =3x Determine the slope of any line parallel to the given line. slope =3x Find f'(x). f'(x) = 3x² Two lines are tangent to the graph of f(x) and parallel to the given line. Find the point of tangency for each line. (x, y) = (smaller x-value) (x, y) = (larger x-value) Find equations for the two lines tangent to the graph of f(x) and parallel to the given line. y = (smaller y-intercept) y = (larger y-intercept)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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