What is the derivative of sqrt(x)+9/(sqrt(x)) ?

The derivative of sqrt(x)+9/(sqrt(x)) is 1/(2sqrt(x))-9/(2x^{3/2)}

What is the first derivative of sqrt(x)+9/(sqrt(x)) ?

The first derivative of sqrt(x)+9/(sqrt(x)) is 1/(2sqrt(x))-9/(2x^{3/2)}

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\frac{d}{d x} (x + \frac{9}{x})

\frac{1}{2 x} - \frac{9}{2 x ^{\frac{3}{2}}}

Solution steps

\frac{d}{d x} (x + \frac{9}{x})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x) + \frac{d}{d x} (\frac{9}{x})

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

\frac{d}{d x} (\frac{9}{x}) = - \frac{9}{2 x ^{\frac{3}{2}}}

= \frac{1}{2 x} - \frac{9}{2 x ^{\frac{3}{2}}}

\int (3 - 8 x) d x

\frac{d}{d x} (\frac{2 x ^{3} + 8}{x})

\frac{d}{d x} (8 x cos (x^{2}))

x \to 8 lim ({f (7) g (- 7)})

What is the derivative of sqrt(x)+9/(sqrt(x)) ?
The derivative of sqrt(x)+9/(sqrt(x)) is 1/(2sqrt(x))-9/(2x^{3/2)}
What is the first derivative of sqrt(x)+9/(sqrt(x)) ?
The first derivative of sqrt(x)+9/(sqrt(x)) is 1/(2sqrt(x))-9/(2x^{3/2)}