en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of x^4-4x^3+4x^2

Solution

\frac{d}{d x} (x^{4} - 4 x^{3} + 4 x^{2})

Solution

4 x^{3} - 12 x^{2} + 8 x

Solution steps

\frac{d}{d x} (x^{4} - 4 x^{3} + 4 x^{2})

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (x^{4}) - \frac{d}{d x} (4 x^{3}) + \frac{d}{d x} (4 x^{2})

\frac{d}{d x} (x^{4}) = 4 x^{3}

\frac{d}{d x} (4 x^{3}) = 12 x^{2}

\frac{d}{d x} (4 x^{2}) = 8 x

= 4 x^{3} - 12 x^{2} + 8 x

Graph

Popular Examples

area 2y=5sqrt(x),y=4,2y+3x=8 area

2 y = 5 x, y = 4, 2 y + 3 x = 8

integral of (1+x+x^2)ln(x)

\int (1 + x + x^{2}) ln (x) d x

derivative of y=-csc(x)-sin(x)derivative of

y = - csc (x) - sin (x)

y^{''}-4y^'-5y=-3e^4t,y(0)=0,y^'(0)=0

y^{^{''}} - 4 y^{^{'}} - 5 y = - 3 e^{4} t, y (0) = 0, y^{^{'}} (0) = 0

integral from 1 to x of (1/(t^3+1))

\int_{1}^{x} (\frac{1}{t ^{3} + 1}) d t

Frequently Asked Questions (FAQ)

What is the derivative of x^4-4x^3+4x^2 ?
The derivative of x^4-4x^3+4x^2 is 4x^3-12x^2+8x
What is the first derivative of x^4-4x^3+4x^2 ?
The first derivative of x^4-4x^3+4x^2 is 4x^3-12x^2+8x