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Popular >

derivative of x=y^2

Solution

derivative of

x = y^{2}

Solution

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

Solution steps

x = y^{2}

Treat

y

as

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}

Popular Examples

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

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

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

derivative of p=7q^3(5q-150)derivative of

p = 7 q^{3} (5 q - 150)

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

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

Frequently Asked Questions (FAQ)

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