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

The derivative of 3x^2-1/(x^2) is 6x+2/(x^3)

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

The first derivative of 3x^2-1/(x^2) is 6x+2/(x^3)

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

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

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d}{d x} (3 x^{2}) = 6 x

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

= 6 x - (- \frac{2}{x ^{3}})

Simplify

= 6 x + \frac{2}{x ^{3}}

16 y^{^{''}} + 8 y^{^{'}} + y = 0

\int_{1}^{\infty} x e^{- 10 x} d x

x \to 0 lim (\frac{x + 1}{5 x})

x^{2} - 2, 7

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

What is the derivative of 3x^2-1/(x^2) ?
The derivative of 3x^2-1/(x^2) is 6x+2/(x^3)
What is the first derivative of 3x^2-1/(x^2) ?
The first derivative of 3x^2-1/(x^2) is 6x+2/(x^3)