Let be a real function of y=f(x) real variable implicitly defined by the equation 2xy−x2y2+ey=0. What is the slope of the line (s) tangent (s) to the function at the point (s) where the function takes the value in ordinates y=1?
Let be a real function of y=f(x) real variable implicitly defined by the equation 2xy−x2y2+ey=0. What is the slope of the line (s) tangent (s) to the function at the point (s) where the function takes the value in ordinates y=1?
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 15T
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Concept explainers
Rate of Change
The relation between two quantities which displays how much greater one quantity is than another is called ratio.
Slope
The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as:
Question
Let be a real function of y=f(x) real variable implicitly defined by the equation 2xy−x2y2+ey=0. What is the slope of the line (s) tangent (s) to the function at the point (s) where the function takes the value in ordinates y=1?
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