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Popular >

derivative of y^2=2x

Solution

derivative of

y^{2} = 2 x

Solution

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

Solution steps

y^{2} = 2 x

Treat

y

as

y (x)

Differentiate both sides:

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

Isolate

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

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

Popular Examples

derivative of x^2y^2=1 derivative of

x^{2} y^{2} = 1

derivative of x=(t^2+1)^{1/2}derivative of

x = (t^{2} + 1)^{\frac{1}{2}}

derivative of x+y-x^3y=15 derivative of

x + y - x^{3} y = 15

derivative of x=(1-y^2)^{1/2}derivative of

x = (1 - y^{2})^{\frac{1}{2}}

derivative of 2x^2+2y-2xy=4 derivative of

2 x^{2} + 2 y - 2 x y = 4

Frequently Asked Questions (FAQ)

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