What is the derivative of sqrt(x)+2/(sqrt(x)) ?

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

What is the first derivative of sqrt(x)+2/(sqrt(x)) ?

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

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derivative of

x + \frac{2}{x}

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

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

36 = 9 x^{2} - 4 y^{2}

\int t^{2} e^{- s t} d t

\int \frac{sin ( x )}{3 + cos ^{2} ( x )} d x

ln (3 x + 1)

x \to 0 + lim (sin (\frac{1}{x}))

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