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Popular >

derivative of f(x)=x-2ln(1-1/x)

Solution

derivative of

f (x) = x - 2 ln (1 - \frac{1}{x})

Solution

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

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d x}{d x} = 1

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

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

Graph

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

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\int_{2}^{6} \frac{x}{x ^{2} + 4 x + 13} d x

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Frequently Asked Questions (FAQ)

What is the derivative of f(x)=x-2ln(1-1/x) ?
The derivative of f(x)=x-2ln(1-1/x) is 1-2/(x(x-1))
What is the first derivative of f(x)=x-2ln(1-1/x) ?
The first derivative of f(x)=x-2ln(1-1/x) is 1-2/(x(x-1))