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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