Question

54-57. For each equation, find $\frac{dy}{dx}$ evaluated at the given values. 54. $x + y = xy$ at $x = 2, y = 2$ 55. $y^3 - y^2 - y = x$ at $x = 2, y = 2$ 56. $xy^2 = 81$ at $x = 9, y = 3$ 57. $x^2y^2 - xy = 2$ at $x = -1, y = 1$

          54-57. For each equation, find $\frac{dy}{dx}$ evaluated at the given values.
54. $x + y = xy$ at $x = 2, y = 2$
55. $y^3 - y^2 - y = x$ at $x = 2, y = 2$
56. $xy^2 = 81$ at $x = 9, y = 3$
57. $x^2y^2 - xy = 2$ at $x = -1, y = 1$

54-57. For each equation, find (dy)/(dx) evaluated at the given values.
54. x + y = xy at x = 2, y = 2
55. y^3 - y^2 - y = x at x = 2, y = 2
56. xy^2 = 81 at x = 9, y = 3
57. x^2y^2 - xy = 2 at x = -1, y = 1

Added by Domingo W.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Sri K

10/17/2022

Step 1

Since dy/dx = 1, this means that y = x + C, where C is the constant of integration. Plugging in the point (2,2), we get 2 = 2 + C, so C = 0. Therefore, the function y(x) = x. Show more…

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