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4. The graph of the equation y = y-x is shown at right. dy (a) Verify that 2.x Show the work that leads to your answer. dx 2y-4y 0.5 -0.6-0.4-0.2 0.2 0.4 0.6 -0.5 (b) Find the point(s) (x, y) at which the graph has a horizontal tangent line. Show the work that leads to your answer. Graph enerated by Walframtiphu (c) Find the y-value(s) which the graph has a vertical tangent line. Show the work that leads to your answer.

4. The graph of the equation y = y-x is shown at right. dy (a) Verify that 2.x Show the work that leads to your answer. dx 2y-4y 0.5 -0.6-0.4-0.2 0.2 0.4 0.6 -0.5 (b) Find the point(s) (x, y) at which the graph has a horizontal tangent line. Show the work that leads to your answer. Graph enerated by Walframtiphu (c) Find the y-value(s) which the graph has a vertical tangent line. Show the work that leads to your answer.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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4. The graph of the equation y = y -x² is shown at right. dy (a) Verify that dr 2x Show the work that leads to your answer. 2y-4y3 0.5 -0.6-0.4-0.2 0.2 0.4 0.6 -0.5 (b) Find the point(s) (x, y) at which the graph has a horizontal tangent line. Show the work that leads to your answer. Graph generated by Walframdipha (c) Find the y-value(s) which the graph has a vertical tangent line. Show the work that leads to your answer. (d) While the graph exists at (0,0), the slope does not. Using dy explain why this is so. dx
Transcribed Image Text:4. The graph of the equation y = y -x² is shown at right. dy (a) Verify that dr 2x Show the work that leads to your answer. 2y-4y3 0.5 -0.6-0.4-0.2 0.2 0.4 0.6 -0.5 (b) Find the point(s) (x, y) at which the graph has a horizontal tangent line. Show the work that leads to your answer. Graph generated by Walframdipha (c) Find the y-value(s) which the graph has a vertical tangent line. Show the work that leads to your answer. (d) While the graph exists at (0,0), the slope does not. Using dy explain why this is so. dx
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