Use implicit differentiation to find an equation of the tangent line to the ellipse $\frac{x^2}{2} + \frac{y^2}{338} = 1$ at $(1,13)$.\n\na. $y = -5x + 26$\nb. $y = -12x + 12$\nc. $y = -3x + 26$\nd. $y = -4x + 12$\ne. $y = -13x + 26$
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The equation of the ellipse is given as x^2/1 + y^2/338 = 1. To write it in standard form, we divide both sides of the equation by 338 to get x^2/338 + y^2/338 = 1. Show more…
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