Show, using implicit differentiation, that any tangent line at a point P to a circle with center O is perpendicular to the radius OP. If the circle has radius r, its equation is r +y +2yy' 0= y' = so the slope of the tangent line at P(xo, Yo) is The negative reciprocal of that slope is slope of OP, so the tangent line at Pis perpendicular to the radius ОР. which is the
Show, using implicit differentiation, that any tangent line at a point P to a circle with center O is perpendicular to the radius OP. If the circle has radius r, its equation is r +y +2yy' 0= y' = so the slope of the tangent line at P(xo, Yo) is The negative reciprocal of that slope is slope of OP, so the tangent line at Pis perpendicular to the radius ОР. which is the
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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