What is the derivative of (x^3)/3+3/(x^3) ?

The derivative of (x^3)/3+3/(x^3) is x^2-9/(x^4)

What is the first derivative of (x^3)/3+3/(x^3) ?

The first derivative of (x^3)/3+3/(x^3) is x^2-9/(x^4)

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derivative of

\frac{x ^{3}}{3} + \frac{3}{x ^{3}}

x^{2} - \frac{9}{x ^{4}}

Solution steps

\frac{d}{d x} (\frac{x ^{3}}{3} + \frac{3}{x ^{3}})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{x ^{3}}{3}) + \frac{d}{d x} (\frac{3}{x ^{3}})

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

\frac{d}{d x} (\frac{3}{x ^{3}}) = - \frac{9}{x ^{4}}

= x^{2} - \frac{9}{x ^{4}}

x \to \infty lim (6)

\int_{0}^{π} π sin^{4} (x) d x

x \to 2 lim (4)

\int (x + 4) (x - 5) d x

\frac{d}{d x} (- x^{2} - 1)

What is the derivative of (x^3)/3+3/(x^3) ?
The derivative of (x^3)/3+3/(x^3) is x^2-9/(x^4)
What is the first derivative of (x^3)/3+3/(x^3) ?
The first derivative of (x^3)/3+3/(x^3) is x^2-9/(x^4)