THEOREM 15.9 Implicit Differentiation Let F be differentiable on its domain and suppose F(x, y) = 0 defines y as a differ- entiable function of x. Provided F, + 0, dy F. dx F, ||

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Implicit differentiation Use Theorem 15.9 to evaluate dy/dx. Assume each equation implicitly defines y as a differentiable function of x.

2 sin xy = 1

THEOREM 15.9 Implicit Differentiation
Let F be differentiable on its domain and suppose F(x, y) = 0 defines y as a differ-
entiable function of x. Provided F, + 0,
dy
F.
dx
F,
||
Transcribed Image Text:THEOREM 15.9 Implicit Differentiation Let F be differentiable on its domain and suppose F(x, y) = 0 defines y as a differ- entiable function of x. Provided F, + 0, dy F. dx F, ||
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