en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

y^'=3x

Solution

y^{^{'}} = 3 x

Solution

y = \frac{3 x ^{2}}{2} + c_{1}

Solution steps

y^{'} (x) = 3 x

If

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

then

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

y = \int 3 x d x

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

y = \frac{3 x ^{2}}{2} + c_{1}

Graph

Popular Examples

derivative of e^{-2*x}

\frac{d}{d x} (e^{- 2 \cdot x})

derivative of x^3+e^x derivative of

x^{3} + e^{x}

integral of sqrt(9+t^2)

\int 9 + t^{2} d t

(dy)/(dx)= y/x+(9x^2)/(y^2)

\frac{d y}{d x} = \frac{y}{x} + \frac{9 x ^{2}}{y ^{2}}

integral of (12x^2)/(4x^3+1)

\int \frac{12 x ^{2}}{4 x ^{3} + 1} d x

Frequently Asked Questions (FAQ)

What is the solution for y^'=3x ?
The solution for y^'=3x is y=(3x^2)/2+c_{1}