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Popular >

derivative of y=3sqrt(x)+2/(sqrt(x))

Solution

derivative of

y = 3 x + \frac{2}{x}

Solution

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

Solution steps

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

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (3 x) + \frac{d}{d x} (\frac{2}{x})

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

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

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

Popular Examples

derivative of y=6-5x^9+2x^8-2x^6 derivative of

y = 6 - 5 x^{9} + 2 x^{8} - 2 x^{6}

tangent of f(x)=(2x)/(3x-1),\at x=1 tangent of

f (x) = \frac{2 x}{3 x - 1}, at x = 1

slope of y=-4 slope

y = - 4

midpoint (-2,3),(10,3)midpoint

(- 2, 3), (10, 3)

derivative of x^2-3x+4 derivative of

x^{2} - 3 x + 4

Frequently Asked Questions (FAQ)

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