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Popular >

derivative of x/(11-(11)/x)

Solution

\frac{d}{d x} (\frac{x}{11} - \frac{11}{x})

Solution

\frac{1}{11} + \frac{11}{x ^{2}}

Solution steps

\frac{d}{d x} (\frac{x}{11} - \frac{11}{x})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{x}{11}) - \frac{d}{d x} (\frac{11}{x})

\frac{d}{d x} (\frac{x}{11}) = \frac{1}{11}

\frac{d}{d x} (\frac{11}{x}) = - \frac{11}{x ^{2}}

= \frac{1}{11} - (- \frac{11}{x ^{2}})

Simplify

= \frac{1}{11} + \frac{11}{x ^{2}}

Popular Examples

derivative of 2x+1/(ln(x^2+e+1)-4)

\frac{d}{d x} (2 x + \frac{1}{ln ( x ^{2} + e ) + 1} - 4)

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(\partial)/(\partial x)(1/(2x^2))

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

limit as x approaches 0 of (10)/x

x \to 0 lim (\frac{10}{x})

Frequently Asked Questions (FAQ)

What is the derivative of x/(11-(11)/x) ?
The derivative of x/(11-(11)/x) is 1/11+(11)/(x^2)
What is the first derivative of x/(11-(11)/x) ?
The first derivative of x/(11-(11)/x) is 1/11+(11)/(x^2)