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Use implicit differentiation to find the slope of the tangent line to the curve defined by 8my7 + 9mg : 17 at the point (1, 1). The slope of the tangent line to the curve at the given point is C]. Find an equation of the line tangent to the graph of the equation 83y + 33: + 10 : 0 at the point where :1: : 2. C] is an _e_g_l_1_ati_c_)_n_ of the tangent line to the curve at the point where a: : 2. \fThe graph of the equation $2 + my + 312 = 6 is an ellipse lying obliquely in the plane, as illustrated in the gure below. IL '- a. Corn ute 7. p (1:17 d\" - C] dw i ' b. The ellipse has two horizontal tangents. Find an equation of the lower one. The lower horizontal tangent line is dened by the equation 3; = D. c. The ellipse has two vertical tangents. Find an equation of the rightmost one. The rightmost vertical tangent line is defined by the equation x : C]. d. Find the point at which the rightmost vertical tangent line touches the ellipse. The rightmost vertical tangent line touches the ellipse at the point Hint: The horizontal tangent is of course characterized by % : 0. To nd the vertical tangent use symmetry, or solve % : 0