en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of 3x^3-x^2+9x-9

Solution

derivative of

3 x^{3} - x^{2} + 9 x - 9

Solution

9 x^{2} - 2 x + 9

Solution steps

\frac{d}{d x} (3 x^{3} - x^{2} + 9 x - 9)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (3 x^{3}) - \frac{d}{d x} (x^{2}) + \frac{d}{d x} (9 x) - \frac{d}{d x} (9)

\frac{d}{d x} (3 x^{3}) = 9 x^{2}

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

\frac{d}{d x} (9 x) = 9

\frac{d}{d x} (9) = 0

= 9 x^{2} - 2 x + 9 - 0

Simplify

= 9 x^{2} - 2 x + 9

Popular Examples

inverse oflaplace (s-2)/(s^2-s-6)inverse laplace

\frac{s - 2}{s ^{2} - s - 6}

derivative of (arcsin(3x)/x)

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

tangent of f(x)=3-4x^2,\at x=-2 tangent of

f (x) = 3 - 4 x^{2}, at x = - 2

tangent of y=sqrt(3x),(3,3)tangent of

y = 3 x, (3, 3)

integral of e^{6-5t}

\int e^{6 - 5 t} d t

Frequently Asked Questions (FAQ)

What is the derivative of 3x^3-x^2+9x-9 ?
The derivative of 3x^3-x^2+9x-9 is 9x^2-2x+9
What is the first derivative of 3x^3-x^2+9x-9 ?
The first derivative of 3x^3-x^2+9x-9 is 9x^2-2x+9