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What is the answer to the following set of formulas? 1.) x 2 + y ( 3 ) = 4 2.) 7 y 2 +

What is the answer to the following set of formulas?

1.) x2+y(3)=4

2.) 7y2+sin(3x)=12y4

For each of the above equations, what are the answers for the following:

a)Find y' by solving the equation for y and differentiating directly

b)Find y' by implicit differentiation

c)Check if the derivatives in a) and b) are the same.

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