What is implicit (dy)/(dx),xy=5 ?

The answer to implicit (dy)/(dx),xy=5 is (dy)/(dx)=-y/x

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implicit (dy)/(dx),xy=5

implicit derivative

\frac{d y}{d x}, x y = 5

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

Solution steps

x y = 5

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}

n = 0 \sum \infty (\frac{5}{6})^{n}

\frac{d}{d x} (x^{3} + 3 x^{2} + 1)

x \to 0 lim (\frac{x - 4}{x + 2})

x \to 1 lim (\frac{( x + 2 )}{x - 1})

f (x) = 2 x^{2} + x + 1, at x = 2

What is implicit (dy)/(dx),xy=5 ?
The answer to implicit (dy)/(dx),xy=5 is (dy)/(dx)=-y/x