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Popular Calculus >

derivative of y^2=x

Solution

derivative of

y^{2} = x

Solution

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

Solution steps

y^{2} = x

Treat

y

as

y (x)

Differentiate both sides:

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

Isolate

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

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

Popular Examples

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derivative of y^3-3xy^2=x^3+3x^2y

derivative of x^3+3x^4y=4y^2-9

Frequently Asked Questions (FAQ)

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