What is the derivative of sqrt(x)+3/(sqrt(x)) ?

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

What is the first derivative of sqrt(x)+3/(sqrt(x)) ?

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

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derivative of

x + \frac{3}{x}

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

Solution steps

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

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x) + \frac{d}{d x} (\frac{3}{x})

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

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

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

3 sin (x), at x = \frac{π}{4}

y^{^{'}} + 3 x^{7} y^{9} + \frac{y}{x} = 0

y^{^{'''}} - 11 y^{^{''}} + 51 y^{^{'}} - 41 y = 0

x y^{^{'}} - 2 y = - x

\frac{x + 1}{x}

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