en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

f^'(x)=x^3+6x^2

Solution

f^{^{'}} (x) = x^{3} + 6 x^{2}

Solution

f (x) = \frac{x ^{4}}{4} + 2 x^{3} + c_{1}

Solution steps

f^{'} (x) = x^{3} + 6 x^{2}

If

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

then

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

f (x) = \int x^{3} + 6 x^{2} d x

\int x^{3} + 6 x^{2} d x = \frac{x ^{4}}{4} + 2 x^{3} + c_{1}

f (x) = \frac{x ^{4}}{4} + 2 x^{3} + c_{1}

Popular Examples

(dy)/(dx)=y^2x,y(0)=6

\frac{d y}{d x} = y^{2} x, y (0) = 6

area y=8ln(x),y=xln(x)area

y = 8 ln (x), y = x ln (x)

derivative of (2/pi)sin(pit),t derivative of

(\frac{2}{π}) sin (π t), t

derivative of (sin^2(x)^2)

\frac{d}{d x} ((sin^{2} (x))^{2})

integral of sin(6x)cos(2x)

\int sin (6 x) cos (2 x) d x

Frequently Asked Questions (FAQ)

What is the solution for f^'(x)=x^3+6x^2 ?
The solution for f^'(x)=x^3+6x^2 is f(x)=(x^4)/4+2x^3+c_{1}