Finding Derivatives Implicitly andExplicitly In Exercises 27–30, (a) find twoexplicit functions by solving the equation for y interms of x, (b) sketch the graph of the equation andlabel the parts given by the corresponding explicitfunctions, (c) differentiate the explicit functions,and (d) find dydx implicitly and show that theresult is equivalent to that of part (c). 27. x2 + y2 = 64

Question

Finding Derivatives Implicitly and
Explicitly In Exercises 27–30, (a) find two
explicit functions by solving the equation for y in
terms of x, (b) sketch the graph of the equation and
label the parts given by the corresponding explicit
functions, (c) differentiate the explicit functions,
and (d) find dydx implicitly and show that the
result is equivalent to that of part (c).

27. x2 + y2 = 64

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