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Find the equation of the tangent line to the ellipse

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at the given point (x^2/a^2)+(y^2/b^2)=1 (m,n) answer should be in terms of x,y,m,n,a,b?

tangent-line

asked Oct 4, 2014 in CALCULUS by anonymous

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1 Answer

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The equation of ellipse is and the point is .

To find the slope of tangent line, derivative with respect to x to the ellipse equation.

Substitute in the above equation.

Point-slope form of line equation :.

Substitute in the above equation.

answered Oct 4, 2014 by casacop Expert

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