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

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

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

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

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derivative of

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

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

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d}{d x} (1) = 0

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

= 0 - \frac{2}{x ^{3}}

Simplify

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

\int (2 x - 3 x^{2}) d x

sin ((5 x^{2} + 8)^{8})

\frac{s ^{3} + s + 2}{s ^{4} - 4}

(2 x y^{2} + 3 x^{2}) d x + (2 x^{2} y + 4 y^{3}) d y = 0

\frac{6}{s ^{4}}

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