What is implicit (dy)/(dx),4x=y^2 ?

The answer to implicit (dy)/(dx),4x=y^2 is (dy)/(dx)= 2/y

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implicit (dy)/(dx),4x=y^2

implicit derivative

\frac{d y}{d x}, 4 x = y^{2}

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

Solution steps

4 x = y^{2}

Treat

y

y (x)

Differentiate both sides:

4 = 2 y \frac{d y}{d x}

Isolate

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

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

What is implicit (dy)/(dx),4x=y^2 ?
The answer to implicit (dy)/(dx),4x=y^2 is (dy)/(dx)= 2/y