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Popular >

derivative of 2x-4/(sqrt(x))

Solution

\frac{d}{d x} (2 x - \frac{4}{x})

Solution

2 + \frac{2}{x ^{\frac{3}{2}}}

Solution steps

\frac{d}{d x} (2 x - \frac{4}{x})

Apply the Sum/Difference Rule:

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

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

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

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

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

Simplify

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

Popular Examples

integral of (2x^3-4x^2-9x-1)/(x^2-2x-5)

\int \frac{2 x ^{3} - 4 x ^{2} - 9 x - 1}{x ^{2} - 2 x - 5} d x

integral of (x^2)/(sqrt(81+x^2))

\int \frac{x ^{2}}{81 + x ^{2}} d x

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\int_{0}^{1} sin (π \cdot x) d x

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x \to 3 lim (\frac{x ^{2} - 2}{x - 3})

5x(x+6y)y^'=5y(x-6y)

5 x (x + 6 y) y^{^{'}} = 5 y (x - 6 y)

Frequently Asked Questions (FAQ)

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