What is implicit (dy)/(dx),xy^2=5 ?

The answer to implicit (dy)/(dx),xy^2=5 is (dy)/(dx)=-y/(2x)

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implicit (dy)/(dx),xy^2=5

implicit derivative

\frac{d y}{d x}, x y^{2} = 5

\frac{d y}{d x} = - \frac{y}{2 x}

Solution steps

x y^{2} = 5

Treat

y

y (x)

Differentiate both sides:

y^{2} + 2 x y \frac{d y}{d x} = 0

Isolate

\frac{d y}{d x} : \frac{d y}{d x} = - \frac{y}{2 x}

\frac{d y}{d x} = - \frac{y}{2 x}

\frac{d}{d x} (lo g_{4} (x^{3} - 7 x + 5))

\int_{0}^{π} - sin (x) d x

x \to 0 lim ((sin (x))^{t a n (x)})

f (x) = sin (sin (x))

\frac{d}{d x} (\frac{1}{4} x - \frac{1}{6})

What is implicit (dy)/(dx),xy^2=5 ?
The answer to implicit (dy)/(dx),xy^2=5 is (dy)/(dx)=-y/(2x)