What is implicit (dy)/(dx),xy=84 ?

The answer to implicit (dy)/(dx),xy=84 is (dy)/(dx)=-y/x

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implicit (dy)/(dx),xy=84

implicit derivative

\frac{d y}{d x}, x y = 84

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

Solution steps

x y = 84

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}

x \to 2 lim (2 x^{2} + 5 x + 2)

\frac{d}{d x} (e^{- s i n (x)})

\int \frac{( x - 5 ) ^{2}}{x ^{3}} d x

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

f (x) = 1100 (x^{2} - 0.2 x)

What is implicit (dy)/(dx),xy=84 ?
The answer to implicit (dy)/(dx),xy=84 is (dy)/(dx)=-y/x