You are given the following equation.

4x2 + 49y2 = 196

a. Find dy / dx by implicit differentiation.
dy / dx = _________

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.)

dy / dx = ________

c. Check that your solutions to parts (a) and (b) are consistent by substituting the expression for y into your solution for part (a).

Mathematics
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