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# ep5 - 92.131 Calculus1 dy for points x y lying on the graph...

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92.131 Calculus1 Implicit Differentiation 1) Determine x d y d for points ) , ( y x lying on the graph of the equation 1 3 2 2 = y x . 2) Determine x d y d for points ) , ( y x lying on the graph of the equation 6 2 3 = x x y . 3) a) Determine x d y d for points ) , ( y x lying on the graph of the equation 6 6 3 2 2 = + y x y x . b) What the equation of the line tangent to the curve at the point ) 2 , 1 ( ? 4) a) Determine x d y d for points ) , ( y x lying on the graph of the equation 14 3 6 2 3 2 = + y x y x . b) What the equation of the line tangent to the curve at the point ) 2 , 1 ( ? 5) Find the equation of the line tangent to the graph of ) 4 / sin( 2 y x y π = at the point ) 2 , 4 ( π . Write your answer using slope-intercept form. 6) Determine x d y d for points ) , ( y x lying on the graph of 2 3 4 2 ) tan( y x y y = + . 7) Determine x d y d for points ) , ( y x lying on the graph of 28 ) 1 ( 2 2 3 = + + y y y x . 8) Determine 2 2 x d y d for points ) , ( y x lying on the graph of 1 4 4 = x y . 9) Is the graph of 0 3 2 2 = y y x concave up or concave down at the point (1, 1)?

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ep5 - 92.131 Calculus1 dy for points x y lying on the graph...

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