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+x^3+x^2+1

Solution

\frac{d}{d x} (x^{4} + x^{3} + x^{2} + 1)

Solution

4 x^{3} + 3 x^{2} + 2 x

Solution steps

\frac{d}{d x} (x^{4} + x^{3} + x^{2} + 1)

Apply the Sum/Difference Rule:

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

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

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

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

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

\frac{d}{d x} (1) = 0

= 4 x^{3} + 3 x^{2} + 2 x + 0

Simplify

= 4 x^{3} + 3 x^{2} + 2 x

Popular Examples

integral of (2x+3)/(sqrt(x))

\int \frac{2 x + 3}{x} d x

tangent of f(x)=4-x^2,(-1,3)tangent of

f (x) = 4 - x^{2}, (- 1, 3)

derivative of 7xsin(x)derivative of

7 x sin (x)

integral from 1 to 3 of 2x+3

\int_{1}^{3} 2 x + 3 d x

derivative of 1/(9x+1)

\frac{d}{d x} (\frac{1}{9 x + 1})

Frequently Asked Questions (FAQ)

What is the derivative of x^4+x^3+x^2+1 ?
The derivative of x^4+x^3+x^2+1 is 4x^3+3x^2+2x
What is the first derivative of x^4+x^3+x^2+1 ?
The first derivative of x^4+x^3+x^2+1 is 4x^3+3x^2+2x