What is implicit (dy)/(dx),xy=20 ?

The answer to implicit (dy)/(dx),xy=20 is (dy)/(dx)=-y/x

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implicit (dy)/(dx),xy=20

implicit derivative

\frac{d y}{d x}, x y = 20

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

Solution steps

x y = 20

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} (\frac{4 x}{3 ( x ^{2} - 4 ) ^{\frac{1}{3}}})

\frac{d}{d x} (\frac{sin ( x )}{2 cos ^{2} ( x )})

x \to 0 + lim (sin^{x} (x))

\int_{5}^{2} (\frac{12 - x ^{3}}{x ^{4}}) d x

(t^{4} - 1)^{9} (t^{3} + 1)^{8}

What is implicit (dy)/(dx),xy=20 ?
The answer to implicit (dy)/(dx),xy=20 is (dy)/(dx)=-y/x