en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of-5x^3+x^2-3x-3

Solution

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

Solution

- 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

Popular Examples

integral from 0 to 1 of 1/(1+x^2)

\int_{0}^{1} \frac{1}{1 + x ^{2}} d x

integral of (2x+7)/(x^2+2x-4)

\int \frac{2 x + 7}{x ^{2} + 2 x - 4} d x

derivative of (cos(x)/(1+cotan(x)))

\frac{d}{d x} (\frac{cos ( x )}{1 + co tan ( x )})

integral of 7e^x+2sec^2(x)

\int 7 e^{x} + 2 sec^{2} (x) d x

derivative of x(a+bxe^{3x})

\frac{d}{d x} (x (a + b x) e^{3 x})

Frequently Asked Questions (FAQ)

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