Consider the curve implicitly defined by: xey - y² = -3. i. Show using implicit differentiation that the slope of this curve at the point (x, y) is given by: dy ey dr 2vz τον

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.2: Introduction To Conics: parabolas
Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.
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Find all points (?, ?) on the curve where the slope of the curve is vertical.
Consider the curve implicitly defined by:
xey - y² = -3.
i.
Show using implicit differentiation that the slope of this curve at the
point (x, y) is given by:
dy
ey
=
dx
2y - xey
Transcribed Image Text:Consider the curve implicitly defined by: xey - y² = -3. i. Show using implicit differentiation that the slope of this curve at the point (x, y) is given by: dy ey = dx 2y - xey
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