Question

Use implicit differentiation to find equation of tangent line to the ellipse x^2 + 2xy + 4y^2 = 12 at the point (2,1)

Name: use implicit differentiation to find equation of tangent line to the ellipse x2 2xy 4y2 12 at the point 21 86644
Uploaded: 2022-03-01T15:18:36-08:00
Duration: 2 min 34 s
Channel: Sree R
Description: use implicit differentiation to find equation of tangent line to the ellipse x2 2xy 4y2 12 at the point 21 86644

          Use implicit differentiation to find equation
of tangent line to the ellipse 
x^2 + 2xy + 4y^2 = 12 at the point (2,1)

Added by Martin V.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Sree R

03/01/2022

Step 1

Step 1: Differentiate the equation \(x^2 + 2xy + 4y^2 = 12\) implicitly with respect to \(x\): \[2x + 2y + 2x\frac{dy}{dx} + 4y\frac{dy}{dx} = 0\] \[2x + 2y + 2x\frac{dy}{dx} + 4y\frac{dy}{dx} = 0\] \[2x + 2y + 2x\frac{dy}{dx} + 4y\frac{dy}{dx} = 0\] Show more…

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