What is the derivative of-5x^3+x^2-3x-3 ?

The derivative of-5x^3+x^2-3x-3 is -15x^2+2x-3

What is the first derivative of-5x^3+x^2-3x-3 ?

The first derivative of-5x^3+x^2-3x-3 is -15x^2+2x-3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

\frac{d}{d x} (- 5 x^{3} + x^{2} - 3 x - 3)

- 15 x^{2} + 2 x - 3

Solution steps

\frac{d}{d x} (- 5 x^{3} + x^{2} - 3 x - 3)

Apply the Sum/Difference Rule:

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

= - \frac{d}{d x} (5 x^{3}) + \frac{d}{d x} (x^{2}) - \frac{d}{d x} (3 x) - \frac{d}{d x} (3)

\frac{d}{d x} (5 x^{3}) = 15 x^{2}

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

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

\frac{d}{d x} (3) = 0

= - 15 x^{2} + 2 x - 3 - 0

Simplify

= - 15 x^{2} + 2 x - 3

What is the derivative of-5x^3+x^2-3x-3 ?
The derivative of-5x^3+x^2-3x-3 is -15x^2+2x-3
What is the first derivative of-5x^3+x^2-3x-3 ?
The first derivative of-5x^3+x^2-3x-3 is -15x^2+2x-3