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Popular >

derivative of 2sqrt(x)+2/(sqrt(x))

Solution

\frac{d}{d x} (2 x + \frac{2}{x})

Solution

\frac{1}{x} - \frac{1}{x ^{\frac{3}{2}}}

Solution steps

\frac{d}{d x} (2 x + \frac{2}{x})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (2 x) + \frac{d}{d x} (\frac{2}{x})

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

\frac{d}{d x} (\frac{2}{x}) = - \frac{1}{x ^{\frac{3}{2}}}

= \frac{1}{x} - \frac{1}{x ^{\frac{3}{2}}}

Graph

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Frequently Asked Questions (FAQ)

What is the derivative of 2sqrt(x)+2/(sqrt(x)) ?
The derivative of 2sqrt(x)+2/(sqrt(x)) is 1/(sqrt(x))-1/(x^{3/2)}
What is the first derivative of 2sqrt(x)+2/(sqrt(x)) ?
The first derivative of 2sqrt(x)+2/(sqrt(x)) is 1/(sqrt(x))-1/(x^{3/2)}