What is implicit (dy)/(dx),xy=7 ?

The answer to implicit (dy)/(dx),xy=7 is (dy)/(dx)=-y/x

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implicit (dy)/(dx),xy=7

implicit derivative

\frac{d y}{d x}, x y = 7

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

Solution steps

x y = 7

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

\frac{d y}{d x} = e^{4 x} + 9 y

\int 2 x^{4} e^{x^{5}} d x

f (x) = x^{2} + 6, at x = - 7

What is implicit (dy)/(dx),xy=7 ?
The answer to implicit (dy)/(dx),xy=7 is (dy)/(dx)=-y/x