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Popular >

derivative of x/(12-(12)/x)

Solution

\frac{d}{d x} (\frac{x}{12} - \frac{12}{x})

Solution

\frac{1}{12} + \frac{12}{x ^{2}}

Solution steps

\frac{d}{d x} (\frac{x}{12} - \frac{12}{x})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{x}{12}) - \frac{d}{d x} (\frac{12}{x})

\frac{d}{d x} (\frac{x}{12}) = \frac{1}{12}

\frac{d}{d x} (\frac{12}{x}) = - \frac{12}{x ^{2}}

= \frac{1}{12} - (- \frac{12}{x ^{2}})

Simplify

= \frac{1}{12} + \frac{12}{x ^{2}}

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Frequently Asked Questions (FAQ)

What is the derivative of x/(12-(12)/x) ?
The derivative of x/(12-(12)/x) is 1/12+(12)/(x^2)
What is the first derivative of x/(12-(12)/x) ?
The first derivative of x/(12-(12)/x) is 1/12+(12)/(x^2)