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

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

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

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

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

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

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

Simplify

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

\int sec^{6} (4 x) tan (4 x) d x

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

f (x) = x^{2}, 0, 4

y^{^{''}} - 5 y^{^{'}} + 6 y = 0, y (1) = e^{2}, y^{^{'}} (1) = 3 e^{2}

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