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

The answer to implicit (dy)/(dx),x=y^2 is (dy)/(dx)= 1/(2y)

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

implicit derivative

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

\frac{d y}{d x} = \frac{1}{2 y}

Solution steps

x = y^{2}

Treat

y

y (x)

Differentiate both sides:

1 = 2 y \frac{d y}{d x}

Isolate

\frac{d y}{d x} : \frac{d y}{d x} = \frac{1}{2 y}

\frac{d y}{d x} = \frac{1}{2 y}

\frac{d}{d x} (\frac{400}{x})

\frac{d y}{d x} = \frac{x ^{2} - 7}{15 y ^{2}}

\frac{d}{d x} (3 x^{2} + 4 x - 1)

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

\frac{1}{( s ^{2} + 2 s + 2 ) s}

What is implicit (dy)/(dx),x=y^2 ?
The answer to implicit (dy)/(dx),x=y^2 is (dy)/(dx)= 1/(2y)