What is implicit (dy)/(dx),xy=36 ?

The answer to implicit (dy)/(dx),xy=36 is (dy)/(dx)=-y/x

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implicit (dy)/(dx),xy=36

implicit derivative

\frac{d y}{d x}, x y = 36

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

Solution steps

x y = 36

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}

\frac{d y}{d t} + 2 t y = 2 t

\int \frac{1}{x ^{2} ( e ^{\frac{1}{x}} - 5 )} d x

\int \frac{1}{2} x^{2} - 2 x + 6 d x

\frac{3}{s} + \frac{24}{s ^{2}}

\frac{d ^{2} y}{d x} + 4 \frac{d y}{d x} - 12 y = 0

What is implicit (dy)/(dx),xy=36 ?
The answer to implicit (dy)/(dx),xy=36 is (dy)/(dx)=-y/x