What is the derivative of 4/3 x^3-4x^2-60x+10 ?

The derivative of 4/3 x^3-4x^2-60x+10 is 4x^2-8x-60

What is the first derivative of 4/3 x^3-4x^2-60x+10 ?

The first derivative of 4/3 x^3-4x^2-60x+10 is 4x^2-8x-60

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

\frac{d}{d x} (\frac{4}{3} x^{3} - 4 x^{2} - 60 x + 10)

4 x^{2} - 8 x - 60

Solution steps

\frac{d}{d x} (\frac{4}{3} x^{3} - 4 x^{2} - 60 x + 10)

Simplify

\frac{4}{3} x^{3} - 4 x^{2} - 60 x + 10 : \frac{4 x ^{3}}{3} - 4 x^{2} - 60 x + 10

= \frac{d}{d x} (\frac{4 x ^{3}}{3} - 4 x^{2} - 60 x + 10)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{4 x ^{3}}{3}) - \frac{d}{d x} (4 x^{2}) - \frac{d}{d x} (60 x) + \frac{d}{d x} (10)

\frac{d}{d x} (\frac{4 x ^{3}}{3}) = 4 x^{2}

\frac{d}{d x} (4 x^{2}) = 8 x

\frac{d}{d x} (60 x) = 60

\frac{d}{d x} (10) = 0

= 4 x^{2} - 8 x - 60 + 0

Simplify

= 4 x^{2} - 8 x - 60

What is the derivative of 4/3 x^3-4x^2-60x+10 ?
The derivative of 4/3 x^3-4x^2-60x+10 is 4x^2-8x-60
What is the first derivative of 4/3 x^3-4x^2-60x+10 ?
The first derivative of 4/3 x^3-4x^2-60x+10 is 4x^2-8x-60