The curve x + y = 3xy was first discussed in 1638 by the French philosopher-mathematician René Descartes, who called it the folium (meaning "leaf"). Descartes's scientific colleague Gilles de Roberval called it the jasmine flower. Both men believed incorrectly that the leaf shape in the first quadrant was repeated in each quadrant, giving the appearance of petals of a flower. 12 48 Find an equation of the tangent line at the point (, 65' 65 +x -2 -2 (Express numbers in exact form. Use symbolic notation and fractions where needed. Let y = f(x) and give the equation in terms of y and x.) equation of the tangent line:

Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter4: Graphing And Inverse Functions
Section4.5: Finding An Equation From Lts Graph
Problem 37PS
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The curve x
+ y°
3xy was first discussed in 1638 by the French philosopher-mathematician René Descartes, who called it
the folium (meaning "leaf"). Descartes's scientific colleague Gilles de Roberval called it the jasmine flower. Both men believed
incorrectly that the leaf shape in the first quadrant was repeated in each quadrant, giving the appearance of petals of a flower.
12 48
Find an equation of the tangent line at the point (5' 65
y
2
-2
2
-2+
(Express numbers in exact form. Use symbolic notation and fractions where needed. Let y = f(x) and give the equation in terms
of y and x.)
equation of the tangent line:
Transcribed Image Text:The curve x + y° 3xy was first discussed in 1638 by the French philosopher-mathematician René Descartes, who called it the folium (meaning "leaf"). Descartes's scientific colleague Gilles de Roberval called it the jasmine flower. Both men believed incorrectly that the leaf shape in the first quadrant was repeated in each quadrant, giving the appearance of petals of a flower. 12 48 Find an equation of the tangent line at the point (5' 65 y 2 -2 2 -2+ (Express numbers in exact form. Use symbolic notation and fractions where needed. Let y = f(x) and give the equation in terms of y and x.) equation of the tangent line:
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