Find dy/dx by implicit differentiation and evaluate the derivative at the given point. xy = 32, (-4, -8) dy -2 X At (-4, -8): y'= 1-2Find dy/dx by implicit differentiation and evaluate the derivative at the given point. x cos y = 3, 6, 3 dy = dx At 6, =Find dy/dx by implicit differentiation and evaluate the derivative at the given point. tan(2x + y) = 2x, (0, 0) dy At (0, 0): y=Find dy/dx by implicit differentiation and evaluate the derivative at the given point. 12 = Inx, (e35, 6) dy = dx At (35, 6): dy = dxUse implicit differentiation to find an equation of the tangent line to the graph at the given point. x2 + xy + yz = 36, (6, 0) y (x ) = -2 XUse implicit differentiation to find an equation of the tangent line to the ellipse at the given point. x 2 + = 14, (4, 10) 4 10 yFind the points at which the graph of the equation has a vertical or horizontal tangent line. 49x2 + 25y2 + 490x - 350y + 1225 = 0 horizontal tangents (x, y) = (smaller y-value) (x, V) = (larger y-value) vertical tangents (x, y) = (smaller x-value) (x, V ) = (larger x-value)Find all points on the circle x2 + yz = 676 where the slope is 5 12 ( x, V ) = (smaller y-value) (x, V ) = (larger y-value)