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)/2-3/2 x^2-x

Solution

derivative of

\frac{x ^{4}}{2} - \frac{3}{2} x^{2} - x

Solution

x (2 x^{2} - 3) - 1

Solution steps

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

Simplify

\frac{x ^{4}}{2} - \frac{3}{2} x^{2} - x : \frac{x ^{4} - 3 x ^{2}}{2} - x

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

Apply the Sum/Difference Rule:

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

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

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

\frac{d x}{d x} = 1

= x (2 x^{2} - 3) - 1

Popular Examples

limit as t approaches 1 of (t^2-4)/(t-2)

t \to 1 lim (\frac{t ^{2} - 4}{t - 2})

integral of (9x^5-6x^3+4x)

\int (9 x^{5} - 6 x^{3} + 4 x) d x

derivative of 10sqrt(x)derivative of

10 x

derivative of 1+cot(x)

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

limit as x approaches 1 of (1-1/x)/(x-1)

x \to 1 lim (\frac{1 - \frac{1}{x}}{x - 1})

Frequently Asked Questions (FAQ)

What is the derivative of (x^4)/2-3/2 x^2-x ?
The derivative of (x^4)/2-3/2 x^2-x is x(2x^2-3)-1
What is the first derivative of (x^4)/2-3/2 x^2-x ?
The first derivative of (x^4)/2-3/2 x^2-x is x(2x^2-3)-1