Question

Use implicit differentiation to find an equation of the tangent line to the curve at the given point. x^2 + 2xy − y^2 + x = 6, (2, 4) (hyperbola)

Name: use implicit differentiation to find an equation of the tangent line to the curve at the given point x2 2xy y2 x 6 2 4 hyperbola 18212
Uploaded: 2022-03-05T04:12:26-08:00
Duration: 4 min 2 s
Channel: Sannachikke Gowda K R
Description: use implicit differentiation to find an equation of the tangent line to the curve at the given point x2 2xy y2 x 6 2 4 hyperbola 18212

          Use implicit differentiation to find an equation of the tangent
line to the curve at the given point.
x^2 + 2xy − y^2 + x = 6, (2, 4) (hyperbola)

Added by Derek S.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Sannachikke Gowda K R

03/05/2022

Step 1

\[2x + 2y \frac{dy}{dx} + 2x - 2y \frac{dy}{dx} - 2y = 0\] \[4x - 2y \frac{dy}{dx} = 2y - 2x\] \[2y \frac{dy}{dx} = 4x - 2y - 2x\] \[2y \frac{dy}{dx} = 2x - 2y\] \[y \frac{dy}{dx} = x - y\] Show more…

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