Theorem: If the equation f(x, y) = c defines y implicitly as a af ду #0, then dx dy af/dy differentiable function of I, and if dy You can check your result da Use the above theorem to find using implicit differentiation. T'y° + cos y = 0 dy ||

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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Theorem: If the equation f(x, y) = c defines y implicitly as a
af
ду
#0, then
dx
dy
af/dy
differentiable function of I, and if
dy
You can check your result
da
Use the above theorem to find
using implicit differentiation.
T'y° + cos y = 0
dy
||
Transcribed Image Text:Theorem: If the equation f(x, y) = c defines y implicitly as a af ду #0, then dx dy af/dy differentiable function of I, and if dy You can check your result da Use the above theorem to find using implicit differentiation. T'y° + cos y = 0 dy ||
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