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

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

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

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

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derivative of

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

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

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

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

\int \frac{arcsin ( 4 x )}{1 - 16 x ^{2}} d x

\frac{x ^{2}}{7 + x}

\frac{d}{d x} (x (3 x + 5)^{3})

\int x (3 + x^{2})^{10} d x

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