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Popular >

derivative of 4/(sqrt(x)+2sqrt(x))

Solution

\frac{d}{d x} (\frac{4}{x} + 2 x)

Solution

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

Solution steps

\frac{d}{d x} (\frac{4}{x} + 2 x)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{4}{x}) + \frac{d}{d x} (2 x)

\frac{d}{d x} (\frac{4}{x}) = - \frac{2}{x ^{\frac{3}{2}}}

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

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

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Frequently Asked Questions (FAQ)

What is the derivative of 4/(sqrt(x)+2sqrt(x)) ?
The derivative of 4/(sqrt(x)+2sqrt(x)) is -2/(x^{3/2)}+1/(sqrt(x))
What is the first derivative of 4/(sqrt(x)+2sqrt(x)) ?
The first derivative of 4/(sqrt(x)+2sqrt(x)) is -2/(x^{3/2)}+1/(sqrt(x))