What is implicit (dy)/(dx),xy=0 ?

The answer to implicit (dy)/(dx),xy=0 is (dy)/(dx)=-y/x

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implicit (dy)/(dx),xy=0

implicit derivative

\frac{d y}{d x}, x y = 0

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

Solution steps

x y = 0

Treat

y

y (x)

Differentiate both sides:

y + x \frac{d y}{d x} = 0

Isolate

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

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

\int_{0}^{π} cos^{2} (x) d x

\frac{d x}{d t} = x - 2 x^{2}

\frac{1}{5}

x^{2}, x, [\frac{1}{4}, 1]

\frac{d}{d x} (x^{2} arctan (3 x))

What is implicit (dy)/(dx),xy=0 ?
The answer to implicit (dy)/(dx),xy=0 is (dy)/(dx)=-y/x