Find the slope of the tangent line to the curve defined by 6x' + 2xy + 5y = 672 at the point (8, -2). The slope of the curve at the point (8, -2) is If vat vy = 7 and y(36) = 1, find y'(36) by implicit differentiation. y'(36) =Use implicit differentiation to find an equation of the tangent line to the curve 5x313 -i- 4.123; = 18 at the point (2,1). The neg _l:J defines the tangent line to the curve at the point (2, l). Find the slope of the tangent line to the curve (a lemniscate) 2(x2 + 32) 2 = 25(2:2 - y? ) at the point (3, -1). The slope of the lemniscate at the given point isFind the slope of the tangent line to the curve v5x + 8y + v2xy = 10 at the point (4, 2). The slope of the tangent line to the curve at the given point isdy For the equation given below, evaluate at the point (1, ). da y - 7 - 9y dy dx at (1, 53 ) =