IMP 1 - StartLogic
Find dydx by implicit differentiation.2. x2-y2=165. x3-xy+y2=47. x3y3-y=x9. x3-2x2y+3xy2=3810. 2sinxcosy=111. sinx+2cos2y=112. sinπx+cosπy2=213. sinx=x(1+tany)14. coty=x-yFind dydx by implicit differentiation and evaluate at the indicated point.EquationPoint17. xy=4(-4,-1)18. x2-y3=0(1,1)19. y2=x2-9x2+9(3,0)20. x+y3=x3+y3(-1,1)Find d2ydx2 in terms of x and y.37. x2-y2=1639. y2=x3Find equations for the tangent line and the normal line to the circle at the indicated points. (The normal line at a point is perpendicular to the tangent line at the point.)41. x2+y2=25 (4,3) and (-3,4)42. x2+y2=9 (0,3) and (2,5)Find the points (x,y) at which the graph of the equation has a vertical or horizontal tangent line.45. 25x2+16y2+200x-160y+400=046. 4x2+y2-8x+4y+4=0 ................
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