What is implicit (dy)/(dx),xy=8 ?

The answer to implicit (dy)/(dx),xy=8 is (dy)/(dx)=-y/x

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implicit (dy)/(dx),xy=8

implicit derivative

\frac{d y}{d x}, x y = 8

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

Solution steps

x y = 8

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 - \frac{e ^{- s t}}{s} d t

\frac{( s + 4 )}{( s + 1 ) ^{2}}

y = (1 + 3 x)^{9}, (0, 1)

\frac{6}{x - 1}

\frac{d}{d x} (2 (x^{3} - x)^{4})

What is implicit (dy)/(dx),xy=8 ?
The answer to implicit (dy)/(dx),xy=8 is (dy)/(dx)=-y/x