What is implicit (dy)/(dx),xy-8=0 ?

The answer to implicit (dy)/(dx),xy-8=0 is (dy)/(dx)=-y/x

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implicit (dy)/(dx),xy-8=0

implicit derivative

\frac{d y}{d x}, x y - 8 = 0

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

Solution steps

x y - 8 = 0

Treat

y

y (x)

Differentiate both sides:

x \frac{d y}{d x} + y = 0

Isolate

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

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

\frac{d}{d x} (3 a + b x^{3})

f (x) = 5 x

\int_{1}^{4} x (1 + x) d x

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

sin^{4} (x)

What is implicit (dy)/(dx),xy-8=0 ?
The answer to implicit (dy)/(dx),xy-8=0 is (dy)/(dx)=-y/x