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

The answer to implicit (dy)/(dx),x^2=y^2 is (dy)/(dx)= x/y

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

implicit derivative

\frac{d y}{d x}, x^{2} = y^{2}

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

Solution steps

x^{2} = y^{2}

Treat

y

y (x)

Differentiate both sides:

2 x = 2 y \frac{d y}{d x}

Isolate

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

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

\int \frac{6 ^{x}}{x} d x

\int \frac{3 x ^{2}}{x ^{2} - x - 12} d x

\frac{\partial}{\partial z} (tan (2 + 2 x^{2} y^{4} z^{2}))

\frac{d}{d x} (sin (x) \cdot cos (y))

n = 1 \sum \infty - \frac{2}{n}

What is implicit (dy)/(dx),x^2=y^2 ?
The answer to implicit (dy)/(dx),x^2=y^2 is (dy)/(dx)= x/y