What is the derivative of 5+1/(x^2) ?

The derivative of 5+1/(x^2) is -2/(x^3)

What is the first derivative of 5+1/(x^2) ?

The first derivative of 5+1/(x^2) is -2/(x^3)

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\frac{d}{d x} (5 + \frac{1}{x ^{2}})

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

Solution steps

\frac{d}{d x} (5 + \frac{1}{x ^{2}})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (5) + \frac{d}{d x} (\frac{1}{x ^{2}})

\frac{d}{d x} (5) = 0

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

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

Simplify

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

\int_{0}^{3} x^{2} - 4 d x

\int 29 x^{28} d x

x \to \frac{1}{3} lim (5 x - 7)

\int_{- 2}^{3} (x^{2} + 3 x - 5) d x

(2 - x)^{- 1}

What is the derivative of 5+1/(x^2) ?
The derivative of 5+1/(x^2) is -2/(x^3)
What is the first derivative of 5+1/(x^2) ?
The first derivative of 5+1/(x^2) is -2/(x^3)