What is implicit (dy)/(dx),2(x^2+y^2)2=25(x^2-y^2) ?

The answer to implicit (dy)/(dx),2(x^2+y^2)2=25(x^2-y^2) is (dy)/(dx)=(21x)/(29y)

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implicit (dy)/(dx),2(x^2+y^2)2=25(x^2-y^2)

implicit derivative

\frac{d y}{d x}, 2 (x^{2} + y^{2}) 2 = 25 (x^{2} - y^{2})

\frac{d y}{d x} = \frac{21 x}{29 y}

Solution steps

2 (x^{2} + y^{2}) \cdot 2 = 25 (x^{2} - y^{2})

Treat

y

y (x)

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4 (2 x + 2 y \frac{d y}{d x}) = 25 (2 x - 2 y \frac{d y}{d x})

Isolate

\frac{d y}{d x} : \frac{d y}{d x} = \frac{21 x}{29 y}

\frac{d y}{d x} = \frac{21 x}{29 y}

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x \to 0 lim (\frac{1}{2} + \frac{x}{2 ∣ x ∣})

x \to 0 lim (\frac{x ^{2} + 4 x}{x})

f (x) = x e^{x} + e^{x}

What is implicit (dy)/(dx),2(x^2+y^2)2=25(x^2-y^2) ?
The answer to implicit (dy)/(dx),2(x^2+y^2)2=25(x^2-y^2) is (dy)/(dx)=(21x)/(29y)