en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

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

Solution

implicit derivative

\frac{d y}{d x}, 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 10x^3

(\partial)/(\partial x)(10x+4y)

derivative of-4/(x^2)

integral of 1/(3-7x)

derivative of f(x)=arcsin(x^6)

Frequently Asked Questions (FAQ)

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