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Popular >

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

derivative of x^2+y^2=6x+4y derivative of

x^{2} + y^{2} = 6 x + 4 y

derivative of x=(u-1)/2 derivative of

x = \frac{u - 1}{2}

derivative of x=y^2 derivative of

x = y^{2}

derivative of x^2+xy+42=100 derivative of

x^{2} + x y + 42 = 100

derivative of sin(y)+cos(x)=1 derivative of

sin (y) + cos (x) = 1

Frequently Asked Questions (FAQ)

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