What is implicit (dy)/(dx),xy=24 ?

The answer to implicit (dy)/(dx),xy=24 is (dy)/(dx)=-y/x

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implicit (dy)/(dx),xy=24

implicit derivative

\frac{d y}{d x}, x y = 24

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

Solution steps

x y = 24

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{d}{d r} (4 π r^{2})

f (x) = [(x - 1)^{2} - x]^{2}, at x = 2

\int \frac{x ^{2}}{225 - x ^{2}} d x

f (x) = cot^{2} (x) (csc (x))

What is implicit (dy)/(dx),xy=24 ?
The answer to implicit (dy)/(dx),xy=24 is (dy)/(dx)=-y/x