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

The derivative of 5x^2+1/(x^2) is 10x-2/(x^3)

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

The first derivative of 5x^2+1/(x^2) is 10x-2/(x^3)

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derivative of

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

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

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d}{d x} (5 x^{2}) = 10 x

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

= 10 x - \frac{2}{x ^{3}}

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

x \to 1 lim (x ln (x))

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

\frac{d}{d x} (2 - 5 x)

ln ((\frac{x}{2})^{2} + 4^{2})

What is the derivative of 5x^2+1/(x^2) ?
The derivative of 5x^2+1/(x^2) is 10x-2/(x^3)
What is the first derivative of 5x^2+1/(x^2) ?
The first derivative of 5x^2+1/(x^2) is 10x-2/(x^3)