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

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

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

implicit derivative

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

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

Solution steps

y^{2} = x

Treat

x

x (y)

Differentiate both sides:

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

Isolate

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

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

\int \frac{1}{64 + ( x - 1 ) ^{2}} d x

\frac{d y}{d x} = 50 y - \frac{1}{10} y^{2}

x^{2} + 1

\int (\frac{1}{5 x ^{3.3}}) d x

\int \frac{12}{( 36 x ^{2} + 1 ) ^{2}} d x

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