1. Consider the following equation. 3x^2 − y^2 = 5
(a) Find y' by implicit differentiation.
y' =
(b) Solve the equation explicitly for y and differentiate to get
y' in terms of x.
y' = ±
2.Consider the following.
1/x + 1/y=3
(a) Find y' by
implicit differentiation.
y' =
(b) Solve the equation explicitly for y and differentiate
to get y' in terms of x.
y' =
(c) Check that your solutions to part (a) and (b) are consistent by
substituting the expression for y into your solution for
part (a).
y' =
3. Find dy/dx by implicit differentiation.
4sqrt(x) + sqrt(y) =4
y'=
Answer
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