What is the derivative of x^3+1/(x^3) ?

The derivative of x^3+1/(x^3) is 3x^2-3/(x^4)

What is the first derivative of x^3+1/(x^3) ?

The first derivative of x^3+1/(x^3) is 3x^2-3/(x^4)

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derivative of

x^{3} + \frac{1}{x ^{3}}

3 x^{2} - \frac{3}{x ^{4}}

Solution steps

\frac{d}{d x} (x^{3} + \frac{1}{x ^{3}})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x^{3}) + \frac{d}{d x} (\frac{1}{x ^{3}})

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

\frac{d}{d x} (\frac{1}{x ^{3}}) = - \frac{3}{x ^{4}}

= 3 x^{2} - \frac{3}{x ^{4}}

ln (x + 2)

\int ln (x) ln (x) d x

\int 1 + x^{4} d x

\frac{\partial}{\partial x} (3 x e^{4 x y})

\int \frac{11 x}{x ^{2} + 1} d x

What is the derivative of x^3+1/(x^3) ?
The derivative of x^3+1/(x^3) is 3x^2-3/(x^4)
What is the first derivative of x^3+1/(x^3) ?
The first derivative of x^3+1/(x^3) is 3x^2-3/(x^4)