en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

6x+(dy)/(dx)=0

Solution

6 x + \frac{d y}{d x} = 0

Solution

y = - 3 x^{2} + c_{1}

Solution steps

6 x + \frac{d y}{d x} = 0

Substitute

\frac{d y}{d x}

with

y^{'} (x)

6 x + y^{^{'}} (x) = 0

Isolate

y^{'} (x) : y^{'} (x) = - 6 x

If

f^{^{'}} (x) = g (x)

then

f (x) = \int g (x) d x

y = \int - 6 x d x

\int - 6 x d x = - 3 x^{2} + c_{1}

y = - 3 x^{2} + c_{1}

Popular Examples

(\partial)/(\partial x)(x(x^2+y^2+z^2)^m)

\frac{\partial}{\partial x} (x (x^{2} + y^{2} + z^{2})^{m})

derivative of 1/({f(x)})

\frac{d}{d x} (\frac{1}{f ( x )})

integral from 1 to-1 of (x-1)(3x+2)

\int_{1}^{- 1} (x - 1) (3 x + 2) d x

integral of x\sqrt[4]{5x+7}

derivative of 2/(sin(x+cos(x)))

\frac{d}{d x} (\frac{2}{sin ( x ) + cos ( x )})

Frequently Asked Questions (FAQ)

What is the solution for 6x+(dy)/(dx)=0 ?
The solution for 6x+(dy)/(dx)=0 is y=-3x^2+c_{1}