Assuming that the equations define y as a differentiable function of x, use Theorem 8 to find the value of dy dx at the given point x 2 xy y 2 7 0, (1, 2) THEOREM 8 A Formula for Implicit Differentiation Suppose that F(x, y) is differentiable and that the equation F(x, y) 0 defines y as a different...

To find the value of dydx at the point 1 2 we can use implicit differentiation The equatio ...

Assuming that the equations define y as a differentiable function of x, use Theorem 8 to find

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Assuming that the equations define y as a differentiable function of x, use Theorem 8 to find the value of dy / dx at the given point.

x² + xy + y² - 7 = 0, (1, 2)

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Thomas Calculus Early Transcendentals

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Authors: Joel R Hass, Christopher E Heil, Maurice D Weir

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Assuming that the equations define y as a differentiable function of x, use Theorem 8 to find

Question:

THEOREM 8-A Formula for Implicit Differentiation Suppose that F(x, y) is differentiable and that the equation F(x, y) = 0 defines y as a differentiable func- tion of x. Then at any point where F, # 0, dy dx Fx F (1)

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Thomas Calculus Early Transcendentals

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