What is the derivative of (x^2)/3+1/(x^2) ?

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

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

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

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derivative of

\frac{x ^{2}}{3} + \frac{1}{x ^{2}}

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

Solution steps

\frac{d}{d x} (\frac{x ^{2}}{3} + \frac{1}{x ^{2}})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{x ^{2}}{3}) + \frac{d}{d x} (\frac{1}{x ^{2}})

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

\frac{d}{d x} (\frac{1}{x ^{2}}) = - \frac{2}{x ^{3}}

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

y y^{^{'}} = - 2 x (1 + y^{2})

x \to 3 lim (2 f (x) - 3 g (x))

\int \frac{x}{x ^{2} - 5} d x

f (x) = x^{3}, a

\int (13 x + 11) d x

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