1. Find dy by implicit differentiation for the following ( a) x - xy'+y's = 1 (b) sin(xy) = cos(x + y) 2. Use implicit differentiation to find the slope of the curve 2 ( x + y ) 3 = y at the point (4, 4). 3. Find an equation of the tangent line to the curve 2 = - 202 + 2 V3xy + 32 at the point (0, -V2). 4. Find y" by implicit differentiation of the function x2 + 4y? = 4 (a) y = ? ( b) y" = ? (c) Simplify your solution for part (b) by using the original functi make a substitution in order to show that y"= 1 473