What is the derivative of g(x)=27x^2-x^3 ?

The derivative of g(x)=27x^2-x^3 is 54x-3x^2

What is the first derivative of g(x)=27x^2-x^3 ?

The first derivative of g(x)=27x^2-x^3 is 54x-3x^2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

derivative of

g (x) = 27 x^{2} - x^{3}

54 x - 3 x^{2}

Solution steps

\frac{d}{d x} (27 x^{2} - x^{3})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (27 x^{2}) - \frac{d}{d x} (x^{3})

\frac{d}{d x} (27 x^{2}) = 54 x

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

= 54 x - 3 x^{2}

What is the derivative of g(x)=27x^2-x^3 ?
The derivative of g(x)=27x^2-x^3 is 54x-3x^2
What is the first derivative of g(x)=27x^2-x^3 ?
The first derivative of g(x)=27x^2-x^3 is 54x-3x^2