What is implicit (dy)/(dx),2(x^2+y^2)2=81(x^2-y^2) ?

The answer to implicit (dy)/(dx),2(x^2+y^2)2=81(x^2-y^2) is (dy)/(dx)=(77x)/(85y)

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implicit (dy)/(dx),2(x^2+y^2)2=81(x^2-y^2)

implicit derivative

\frac{d y}{d x}, 2 (x^{2} + y^{2}) 2 = 81 (x^{2} - y^{2})

\frac{d y}{d x} = \frac{77 x}{85 y}

Solution steps

2 (x^{2} + y^{2}) \cdot 2 = 81 (x^{2} - y^{2})

Treat

y

y (x)

Differentiate both sides:

4 (2 x + 2 y \frac{d y}{d x}) = 81 (2 x - 2 y \frac{d y}{d x})

Isolate

\frac{d y}{d x} : \frac{d y}{d x} = \frac{77 x}{85 y}

\frac{d y}{d x} = \frac{77 x}{85 y}

\frac{d}{d x} (\frac{x ^{2}}{2} + x \cdot (ln (x) - 1))

x \to 3 lim (4 x^{3} - 2 x^{2} + x - 6)

y = \frac{8}{1 - t}, (- 1, 4)

\int \frac{1}{( x + 3 ) ^{2} ( x - 1 )} d x

y = 9 x - 2 x^{2}, (- 2, - 26)

What is implicit (dy)/(dx),2(x^2+y^2)2=81(x^2-y^2) ?
The answer to implicit (dy)/(dx),2(x^2+y^2)2=81(x^2-y^2) is (dy)/(dx)=(77x)/(85y)