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

The derivative of (x^6/6+6/(x^6)) is x^5-(36)/(x^7)

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

The first derivative of (x^6/6+6/(x^6)) is x^5-(36)/(x^7)

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Popular >

\frac{d}{d x} (\frac{x ^{6}}{6} + \frac{6}{x ^{6}})

x^{5} - \frac{36}{x ^{7}}

Solution steps

\frac{d}{d x} (\frac{x ^{6}}{6} + \frac{6}{x ^{6}})

Apply the Sum/Difference Rule:

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

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

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

\frac{d}{d x} (\frac{6}{x ^{6}}) = - \frac{36}{x ^{7}}

= x^{5} - \frac{36}{x ^{7}}

\frac{d}{d x} (x e^{x})

\frac{d}{d x} (cos (4 x) - sin (x))

\int \frac{- 7 x ^{2}}{4 x - x ^{2}} d x

n = 1 \sum \infty \frac{2}{3 n + 1}

\int 2 x ln (4 x) d x

What is the derivative of (x^6/6+6/(x^6)) ?
The derivative of (x^6/6+6/(x^6)) is x^5-(36)/(x^7)
What is the first derivative of (x^6/6+6/(x^6)) ?
The first derivative of (x^6/6+6/(x^6)) is x^5-(36)/(x^7)