Consider the following equation. 4x² + 25y² = 100 (a) Find dy/dx by implicit differentiation. 4x 25y (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.) x (c) Check that your solutions to part (a) and (b) are consistent by substituting the expression for y into your solution for part (a). y' =