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Popular >

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

Solution

derivative of

\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}}

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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)