What is implicit (dx)/(dy),y^2-x=0 ?

The answer to implicit (dx)/(dy),y^2-x=0 is (dx)/(dy)=2y

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implicit (dx)/(dy),y^2-x=0

implicit derivative

\frac{d x}{d y}, y^{2} - x = 0

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

Solution steps

y^{2} - x = 0

Treat

x

x (y)

Differentiate both sides:

2 y - \frac{d x}{d y} = 0

Isolate

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

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

f (x) = x^{4} + 8 x^{3} - 2 x - 2, at x = - 2

\int \frac{sec ^{2} ( x )}{1 + tan ( x )} d x

\frac{( e ^{x} + e ^{- x} ) d y}{d x} = y^{2}

\frac{d}{d x} (\frac{1}{x ^{2} - 9})

What is implicit (dx)/(dy),y^2-x=0 ?
The answer to implicit (dx)/(dy),y^2-x=0 is (dx)/(dy)=2y