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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

implicit derivative

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

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

Solution steps

y^{2} = 2 x

Treat

y

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}

\frac{d}{d x} (10 x^{3})

\int a^{2} - r^{2} r d r

\frac{\partial}{\partial x} (10 x + 4 y)

- \frac{4}{x ^{2}}

\int \frac{1}{3 - 7 x} d x

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