# calculus

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find the slope of the tangent line at the point (1,2) for the ellipse 2x^2+3y^2=14

y'(1) = ??

• calculus -

differentiate implicitly

4x + 6y dy/dx = 0
dy/dx = -6y/(4x) = -3y/(2x)

sub in (1,2) to get the slope

take it from there

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