en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of 12x^5-8x^4+20x^3

Solution

derivative of

12 x^{5} - 8 x^{4} + 20 x^{3}

Solution

60 x^{4} - 32 x^{3} + 60 x^{2}

Solution steps

\frac{d}{d x} (12 x^{5} - 8 x^{4} + 20 x^{3})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (12 x^{5}) - \frac{d}{d x} (8 x^{4}) + \frac{d}{d x} (20 x^{3})

\frac{d}{d x} (12 x^{5}) = 60 x^{4}

\frac{d}{d x} (8 x^{4}) = 32 x^{3}

\frac{d}{d x} (20 x^{3}) = 60 x^{2}

= 60 x^{4} - 32 x^{3} + 60 x^{2}

Popular Examples

derivative of (sin(2x+1)/(cos(-1-2x)))

\frac{d}{d x} (\frac{sin ( 2 x + 1 )}{cos ( - 1 - 2 x )})

(d^2)/(dx^2)(cos(6x))

\frac{d ^{2}}{d x ^{2}} (cos (6 x))

limit as x approaches-1 of x(0)

x \to - 1 lim (x (0))

xe^yy^'=2(e^y+x^3e^{2x})

x e^{y} y^{^{'}} = 2 (e^{y} + x^{3} e^{2 x})

integral of sqrt(1+(1/x)^2)

\int 1 + (\frac{1}{x})^{2} d x

Frequently Asked Questions (FAQ)

What is the derivative of 12x^5-8x^4+20x^3 ?
The derivative of 12x^5-8x^4+20x^3 is 60x^4-32x^3+60x^2
What is the first derivative of 12x^5-8x^4+20x^3 ?
The first derivative of 12x^5-8x^4+20x^3 is 60x^4-32x^3+60x^2