What is (\partial)/(\partial x)(1-1/x) ?

The answer to (\partial)/(\partial x)(1-1/x) is 1/(x^2)

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(\partial)/(\partial x)(1-1/x)

\frac{\partial}{\partial x} (1 - \frac{1}{x})

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

Solution steps

\frac{\partial}{\partial x} (1 - \frac{1}{x})

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (1) - \frac{\partial}{\partial x} (\frac{1}{x})

\frac{\partial}{\partial x} (1) = 0

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

= 0 - (- \frac{1}{x ^{2}})

Simplify

= \frac{1}{x ^{2}}

\frac{1}{8 x}

y = x, (25, 5)

f (x) = x + \frac{7}{x}

x \to 0 lim (7^{x})

f (x)

What is (\partial)/(\partial x)(1-1/x) ?
The answer to (\partial)/(\partial x)(1-1/x) is 1/(x^2)