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

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

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

implicit derivative

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

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

Solution steps

y^{2} = 4 x

Treat

y

y (x)

Differentiate both sides:

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

Isolate

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

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

\frac{\partial}{\partial y} (x y - y^{2})

\frac{d ^{2}}{d x ^{2}} (\frac{x ^{2}}{7 + 6 x})

\int sin (5 x) cos^{\frac{4}{3}} (5 x) d x

\frac{\partial}{\partial x} (e^{x} x y)

\frac{d y}{d x} = \frac{x y + 7 x - y - 7}{x y - 2 x + 8 y - 16}

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