What is implicit (dy)/(dx),2xy=5 ?

The answer to implicit (dy)/(dx),2xy=5 is (dy)/(dx)=-y/x

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implicit (dy)/(dx),2xy=5

implicit derivative

\frac{d y}{d x}, 2 x y = 5

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

Solution steps

2 x y = 5

Treat

y

y (x)

Differentiate both sides:

2 (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}

y^{^{'}} = \frac{x ^{2} e ^{\frac{y}{x}} + y ^{2}}{x y}

\frac{d}{d x} ((x - 4) (ln (\frac{x}{4})))

f (x) = \frac{e ^{x}}{7 x ^{2} + 4}

8 x - 8 x

\int_{0.5}^{3} \frac{sin ( x )}{x} d x

What is implicit (dy)/(dx),2xy=5 ?
The answer to implicit (dy)/(dx),2xy=5 is (dy)/(dx)=-y/x