document.write( "Question 1075727: Find the slope of the tangent line to the ellipse x^2/9+y^2/4=1 at the point (x,y)
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document.write( "slope =?\r
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document.write( "Are there any points where the slope is not defined? (Enter them as comma-separated ordered-pairs, e.g., (1,3), (-2,5). Enter none if there are no such points.)
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document.write( "slope is undefined at =? \n" );
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Algebra.Com's Answer #690366 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! Find the slope of the tangent line to the ellipse x^2/9+y^2/4=1 at the point (x,y) \n" ); document.write( "------- \n" ); document.write( "x^2/9+y^2/4=1 \n" ); document.write( "4x^2 + 9y^2 = 36 \n" ); document.write( "8xdx + 18ydy = 0 \n" ); document.write( "4xdx = -9ydy \n" ); document.write( "dy/dx = -4x/9y \n" ); document.write( "====================== \n" ); document.write( "Are there any points where the slope is not defined? (Enter them as comma-separated ordered-pairs, e.g., (1,3), (-2,5). Enter none if there are no such points.) \n" ); document.write( "Undefined where the DEN is zero. \n" ); document.write( "--> y = 0 \n" ); document.write( "x^2/9 = 1 \n" ); document.write( "(-3,0) and (3,0) \n" ); document.write( " |