What is the derivative of sqrt(x)+4/(sqrt(x)) ?

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

What is the first derivative of sqrt(x)+4/(sqrt(x)) ?

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

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

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

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

\int (x + 1)^{2} ln (x + 1) d x

y^{^{'}} = y^{4}

\frac{d}{d x} (5^{x s i n (x)})

f (x) = 2 x^{3}, at x = 1

\frac{d}{d t} (\frac{1}{1 + 24 e ^{- 0.28 t}})

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