What is the derivative of f(x)=x^4-6x^3 ?

The derivative of f(x)=x^4-6x^3 is 4x^3-18x^2

What is the first derivative of f(x)=x^4-6x^3 ?

The first derivative of f(x)=x^4-6x^3 is 4x^3-18x^2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

derivative of

f (x) = x^{4} - 6 x^{3}

4 x^{3} - 18 x^{2}

Solution steps

\frac{d}{d x} (x^{4} - 6 x^{3})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x^{4}) - \frac{d}{d x} (6 x^{3})

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

\frac{d}{d x} (6 x^{3}) = 18 x^{2}

= 4 x^{3} - 18 x^{2}

What is the derivative of f(x)=x^4-6x^3 ?
The derivative of f(x)=x^4-6x^3 is 4x^3-18x^2
What is the first derivative of f(x)=x^4-6x^3 ?
The first derivative of f(x)=x^4-6x^3 is 4x^3-18x^2