Calculus 7E
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(a) Implicit differentiation:
The equation is .
Differentiate on each side with respect to .
.
(b) Explicit differentiation:
Solving for y.
Differentiate above function with respect to x
(c)
Solution for part (a) is .
Substitute in .
.
Thus, the result in part (a), matches with the result in part (b).
(a) .
(b) and .
(c) Results are consistent.
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