You are given the following equation. 4x2 + 25y2 = 100 (5) Find dy/ dx by implicit differentiation. _ _ dy/dx 25y J (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.) _ __8L dy/dx 25x X ((2) 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