What is the derivative of sqrt(x)+7/(sqrt(x)) ?

The derivative of sqrt(x)+7/(sqrt(x)) is 1/(2sqrt(x))-7/(2x^{3/2)}

What is the first derivative of sqrt(x)+7/(sqrt(x)) ?

The first derivative of sqrt(x)+7/(sqrt(x)) is 1/(2sqrt(x))-7/(2x^{3/2)}

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\frac{d}{d x} (x + \frac{7}{x})

\frac{1}{2 x} - \frac{7}{2 x ^{\frac{3}{2}}}

Solution steps

\frac{d}{d x} (x + \frac{7}{x})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x) + \frac{d}{d x} (\frac{7}{x})

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

\frac{d}{d x} (\frac{7}{x}) = - \frac{7}{2 x ^{\frac{3}{2}}}

= \frac{1}{2 x} - \frac{7}{2 x ^{\frac{3}{2}}}

\frac{d}{d x} ((x - 2 π)^{2})

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

\frac{d}{d x} (\frac{4 x}{3 x + 1})

x \to 5 lim ((3 + \frac{1}{x})^{3})

y^{^{'}} = \frac{4 x}{e ^{x}}

What is the derivative of sqrt(x)+7/(sqrt(x)) ?
The derivative of sqrt(x)+7/(sqrt(x)) is 1/(2sqrt(x))-7/(2x^{3/2)}
What is the first derivative of sqrt(x)+7/(sqrt(x)) ?
The first derivative of sqrt(x)+7/(sqrt(x)) is 1/(2sqrt(x))-7/(2x^{3/2)}