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Show that the curve has no stationary points.

Show that the curve has no stationary points.

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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Soalan /Question 4 Persamaan bagi lengkung adalah x? – 4xy – 2y² = 1. The equation of a curve is x? – 4xy– 2y2 = 1. dy (a) Cari ungkapan bagi dan tunjukkan bahawa kecerunan lengkung pada titik dx 5 (-1,2) adalah 2 dy Find an expression for and show that the gradient of the curve at the point dx (-1,2) is - 21 (b) Tunjukkan bahawa lengkung berkenaan tiada titik pegun. Show that the curve has no stationary points. (c) Cari koordinat-x bagi setiap titik pada lengkung berkenaan yang mana tangennya adalah selari kepada paksi-y. Find the x-coordinate of each of the points on the curve at which the tangent is parallel to the y-axis.
Transcribed Image Text:Soalan /Question 4 Persamaan bagi lengkung adalah x? – 4xy – 2y² = 1. The equation of a curve is x? – 4xy– 2y2 = 1. dy (a) Cari ungkapan bagi dan tunjukkan bahawa kecerunan lengkung pada titik dx 5 (-1,2) adalah 2 dy Find an expression for and show that the gradient of the curve at the point dx (-1,2) is - 21 (b) Tunjukkan bahawa lengkung berkenaan tiada titik pegun. Show that the curve has no stationary points. (c) Cari koordinat-x bagi setiap titik pada lengkung berkenaan yang mana tangennya adalah selari kepada paksi-y. Find the x-coordinate of each of the points on the curve at which the tangent is parallel to the y-axis.
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