Find the slope of the tangent line to the curve (a lemniscate) $2(x^2 + y^2)^2 = 25(x^2 - y^2)$ at the point $(-3, -1)$ slope = -0.69230769230769

          Find the slope of the tangent line to the curve (a lemniscate)
$2(x^2 + y^2)^2 = 25(x^2 - y^2)$
at the point $(-3, -1)$
slope = -0.69230769230769

Added by Jennifer B.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Madhur L

07/20/2023

Step 1

To find the slope of the tangent line, we need to rewrite the equation of the curve in the form y = mx + b, where m is the slope. Given equation: 2x + y = 25x - y Rearranging the equation, we get: y = 25x - 2x - y Combining like terms, we have: 2y = Show more…

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Texts: Can somebody solve this? I got the answer but don't know the steps. People Score on last try: 1 of 1 pts. See Details for more. Get a similar question. Pages Google Drive Find the slope of the tangent line to the curve (a lemniscate) 2x+y=25x-y at the point (-3,-1). Office365 Follett Discover Modules Slope = -0.69230769230769 -0.69230769230769 Question Help: Video COMOnline Tutoring/Labs Submit Question JUN 23