1. /1 pointsSEssCalcETl 2.6.001. Find dy/ dx by implicit differentiation. xy+3X+5X2=4 dy/dx= Need Help? 2. /2 pointsSEssCalcETl 2.6.002. You are given the following equation. 4x2 + 9y2 = 36 (a) Find dy/ dx by implicit differentiation. 3 \\ % H II (b) Solve the equation explicitly for y and differentiate to get dy/ dx in terms of x. (Consider only the first and second quadrants for this part.) 3 \\ E} II II (c) Check that your solutions to parts (a) and (b) are consistent by substituting the expression for y into your solution for part (a). (Do this on paper. Your teacher may ask you to turn in this work.) Need Help? 3. /1 pointsSEssCalcETl 2.6.012. Find dy/dx by implicit differentiation. \\/5x+y=8+x2y2 4. /1 pointsSEssCalcETl 2.6.013. Find dy/dx by implicit differentiation. M = 3 + X2y dy/dx = Need Help? 5. /1 pointsSEssCalcETl 2.6.017. Use implicit differentiation to find an equation of the tangent line to the curve at the given point. 2x2 + xy + 2y2 = 5, (1, 1) (ellipse) Need Help? 6. /1 pointsSEssCalcETl 2.6.018. Use implicit differentiation to find an equation of the tangent line to the curve at the given point. x2 + 2xy y2 + x = 46, (5, 8) (hyperbola) 7. /1 pointsSEssCalcETl 2.6.019. Use implicit differentiation to find an equation of the tangent line to the cardioid at the point (0, -0.5). x2 + y2 = (2x2 + 2y2 - x)2 8. /1 pointsSEssCalcETl 2.6.027. The curve with the equation given below is called a kampyle of Eudoxus. Find the equation of the tangent line to this curve at the point (1, 2). y2=5x4x2 '