What is the derivative of 1/4 x^4-2/3 x^3+2 ?

The derivative of 1/4 x^4-2/3 x^3+2 is x^3-2x^2

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

The first derivative of 1/4 x^4-2/3 x^3+2 is x^3-2x^2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

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

x^{3} - 2 x^{2}

Solution steps

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

Simplify

\frac{1}{4} x^{4} - \frac{2}{3} x^{3} + 2 : \frac{x ^{4}}{4} - \frac{2 x ^{3}}{3} + 2

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

Apply the Sum/Difference Rule:

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

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

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

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

\frac{d}{d x} (2) = 0

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

Simplify

= x^{3} - 2 x^{2}

\int \frac{1}{n ln ( n )}

l a pl a ce t r an s f or m t^{3} e^{t}

\int x^{2} + 4 x d x

\int \frac{1}{10 - x} d x

\frac{d y}{d t} + 3 y = t + e^{- 2 t}

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