What is the derivative of (-5^5/2+15x^4-24x^3+6x+4) ?

The derivative of (-5^5/2+15x^4-24x^3+6x+4) is 60x^3-72x^2+6

What is the first derivative of (-5^5/2+15x^4-24x^3+6x+4) ?

The first derivative of (-5^5/2+15x^4-24x^3+6x+4) is 60x^3-72x^2+6

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

\frac{d}{d x} (\frac{- 5 ^{5}}{2} + 15 x^{4} - 24 x^{3} + 6 x + 4)

60 x^{3} - 72 x^{2} + 6

Solution steps

\frac{d}{d x} (\frac{- 5 ^{5}}{2} + 15 x^{4} - 24 x^{3} + 6 x + 4)

Simplify

\frac{- 5 ^{5}}{2} + 15 x^{4} - 24 x^{3} + 6 x + 4 : 15 x^{4} - 24 x^{3} + 6 x - \frac{3117}{2}

= \frac{d}{d x} (15 x^{4} - 24 x^{3} + 6 x - \frac{3117}{2})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (15 x^{4}) - \frac{d}{d x} (24 x^{3}) + \frac{d}{d x} (6 x) - \frac{d}{d x} (\frac{3117}{2})

\frac{d}{d x} (15 x^{4}) = 60 x^{3}

\frac{d}{d x} (24 x^{3}) = 72 x^{2}

\frac{d}{d x} (6 x) = 6

\frac{d}{d x} (\frac{3117}{2}) = 0

= 60 x^{3} - 72 x^{2} + 6 - 0

Simplify

= 60 x^{3} - 72 x^{2} + 6

y = cos (3 x)

\frac{\partial}{\partial x} (ln^{2} (x))

\int \frac{1}{( x ^{2} - 4 x + 5 )} d x

- \frac{1}{( 3 + t ) ^{2}}

t^{2} e^{-, at}

What is the derivative of (-5^5/2+15x^4-24x^3+6x+4) ?
The derivative of (-5^5/2+15x^4-24x^3+6x+4) is 60x^3-72x^2+6
What is the first derivative of (-5^5/2+15x^4-24x^3+6x+4) ?
The first derivative of (-5^5/2+15x^4-24x^3+6x+4) is 60x^3-72x^2+6