What is implicit (dy)/(dx),xy=15 ?

The answer to implicit (dy)/(dx),xy=15 is (dy)/(dx)=-y/x

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implicit (dy)/(dx),xy=15

implicit derivative

\frac{d y}{d x}, x y = 15

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

Solution steps

x y = 15

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{\partial}{\partial x} (2 sin (x^{2} + y^{2}))

\frac{d}{d θ} (8 sin (θ))

\int 17 x^{3} e^{x} d x

d er i v a t i v e - 5 + 9 x

\frac{d y}{d t} = 2 t y^{2}

What is implicit (dy)/(dx),xy=15 ?
The answer to implicit (dy)/(dx),xy=15 is (dy)/(dx)=-y/x