What is the derivative of-1/(x^2-7/x) ?

The derivative of-1/(x^2-7/x) is 2/(x^3)+7/(x^2)

What is the first derivative of-1/(x^2-7/x) ?

The first derivative of-1/(x^2-7/x) is 2/(x^3)+7/(x^2)

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\frac{d}{d x} (- \frac{1}{x ^{2}} - \frac{7}{x})

\frac{2}{x ^{3}} + \frac{7}{x ^{2}}

Solution steps

\frac{d}{d x} (- \frac{1}{x ^{2}} - \frac{7}{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{7}{x})

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

\frac{d}{d x} (\frac{7}{x}) = - \frac{7}{x ^{2}}

= - (- \frac{2}{x ^{3}}) - (- \frac{7}{x ^{2}})

Simplify

= \frac{2}{x ^{3}} + \frac{7}{x ^{2}}

n = 9 \sum \infty e^{5 - 4 n}

4 - x^{2}, - x + 2

e^{2} X

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

\frac{\partial}{\partial x} (sin (x) cos (y))

What is the derivative of-1/(x^2-7/x) ?
The derivative of-1/(x^2-7/x) is 2/(x^3)+7/(x^2)
What is the first derivative of-1/(x^2-7/x) ?
The first derivative of-1/(x^2-7/x) is 2/(x^3)+7/(x^2)