What is the derivative of (x^6)/6+1/(16x^4) ?

The derivative of (x^6)/6+1/(16x^4) is x^5-1/(4x^5)

What is the first derivative of (x^6)/6+1/(16x^4) ?

The first derivative of (x^6)/6+1/(16x^4) is x^5-1/(4x^5)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

derivative of

\frac{x ^{6}}{6} + \frac{1}{16 x ^{4}}

x^{5} - \frac{1}{4 x ^{5}}

Solution steps

\frac{d}{d x} (\frac{x ^{6}}{6} + \frac{1}{16 x ^{4}})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{x ^{6}}{6}) + \frac{d}{d x} (\frac{1}{16 x ^{4}})

\frac{d}{d x} (\frac{x ^{6}}{6}) = x^{5}

\frac{d}{d x} (\frac{1}{16 x ^{4}}) = - \frac{1}{4 x ^{5}}

= x^{5} - \frac{1}{4 x ^{5}}

What is the derivative of (x^6)/6+1/(16x^4) ?
The derivative of (x^6)/6+1/(16x^4) is x^5-1/(4x^5)
What is the first derivative of (x^6)/6+1/(16x^4) ?
The first derivative of (x^6)/6+1/(16x^4) is x^5-1/(4x^5)