What is implicit (dy)/(dx),xy=3 ?

The answer to implicit (dy)/(dx),xy=3 is (dy)/(dx)=-y/x

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implicit (dy)/(dx),xy=3

implicit derivative

\frac{d y}{d x}, x y = 3

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

Solution steps

x y = 3

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}{d x} (e^{x + c})

2 y^{^{''}} + 13 y^{^{'}} - 7 y = 0

\int \frac{1}{x ^{2} + t ^{2}} d x

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

What is implicit (dy)/(dx),xy=3 ?
The answer to implicit (dy)/(dx),xy=3 is (dy)/(dx)=-y/x