Annapolis High School
HOMEWORK -Implicit Differentiation NAME: ___________________________DATE: _________PROBLEM 1 : Assume that y is a function of x . Find y' = dy/dx for x3 + y3 = 4 . PROBLEM 2 : Assume that y is a function of x . Find y' = dy/dx for (x-y)2 = x + y - 1 . PROBLEM 3 : Assume that y is a function of x . Find y' = dy/dx for . PROBLEM 4 : Assume that y is a function of x . Find y' = dy/dx for y = x2 y3 + x3 y2 . PROBLEM 5 : Assume that y is a function of x . Find y' = dy/dx for exy = e4x - e5y . PROBLEM 6 : Assume that y is a function of x . Find y' = dy/dx for . PROBLEM 7 : Assume that y is a function of x . Find y' = dy/dx for . PROBLEM 8 : Assume that y is a function of x . Find y' = dy/dx for . PROBLEM 9 : Assume that y is a function of x . Find y' = dy/dx for . PROBLEM 10 : Find an equation of the line tangent to the graph of (x2+y2)3 = 8x2y2 at the point (-1, 1) . PROBLEM 11 : Find an equation of the line tangent to the graph of x2 + (y-x)3 = 9 at (1, 3) PROBLEM 12 : Find the slope of the graph of x2y + y4 = 4 + 2x at the point (-1, 1) . PROBLEM 13 : Consider the equation x2 + xy + y2 = 1 . Find equations for y' in terms of x and y only. ................
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