What is implicit (dy)/(dx),xy=30 ?

The answer to implicit (dy)/(dx),xy=30 is (dy)/(dx)=-y/x

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implicit (dy)/(dx),xy=30

implicit derivative

\frac{d y}{d x}, x y = 30

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

Solution steps

x y = 30

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_{0}^{4} (y - y + 2) d y

t \to - 2 lim (\frac{t ^{2} - 4}{t + 2})

\frac{\partial}{\partial x} (7 x e^{x y})

\int \frac{7 + x}{7 - x} d x

\int (1 - cos^{2} (x))^{3} d x

What is implicit (dy)/(dx),xy=30 ?
The answer to implicit (dy)/(dx),xy=30 is (dy)/(dx)=-y/x