What is the derivative of 144((216)/(x^2)+x/(x+24)) ?

The derivative of 144((216)/(x^2)+x/(x+24)) is 144(-(432)/(x^3)+(24)/((x+24)^2))

What is the first derivative of 144((216)/(x^2)+x/(x+24)) ?

The first derivative of 144((216)/(x^2)+x/(x+24)) is 144(-(432)/(x^3)+(24)/((x+24)^2))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

derivative of

144 (\frac{216}{x ^{2}} + \frac{x}{x + 24})

144 (- \frac{432}{x ^{3}} + \frac{24}{( x + 24 ) ^{2}})

Solution steps

\frac{d}{d x} (144 (\frac{216}{x ^{2}} + \frac{x}{x + 24}))

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 144 \frac{d}{d x} (\frac{216}{x ^{2}} + \frac{x}{x + 24})

Apply the Sum/Difference Rule:

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

= 144 (\frac{d}{d x} (\frac{216}{x ^{2}}) + \frac{d}{d x} (\frac{x}{x + 24}))

\frac{d}{d x} (\frac{216}{x ^{2}}) = - \frac{432}{x ^{3}}

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

= 144 (- \frac{432}{x ^{3}} + \frac{24}{( x + 24 ) ^{2}})

What is the derivative of 144((216)/(x^2)+x/(x+24)) ?
The derivative of 144((216)/(x^2)+x/(x+24)) is 144(-(432)/(x^3)+(24)/((x+24)^2))
What is the first derivative of 144((216)/(x^2)+x/(x+24)) ?
The first derivative of 144((216)/(x^2)+x/(x+24)) is 144(-(432)/(x^3)+(24)/((x+24)^2))