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Popular >

derivative of f(x)=sqrt(x)+7/(sqrt(x))

Solution

derivative of

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

Solution

\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}}}

Popular Examples

integral of x*ln(1+x)

\int x \cdot ln (1 + x) d x

area x^3-5x^2-x+5,1,5 area

x^{3} - 5 x^{2} - x + 5, 1, 5

integral of e^{-2x}sin(x/2)

\int e^{- 2 x} sin (\frac{x}{2}) d x

derivative of f(x)=arctan(2/x)derivative of

f (x) = arctan (\frac{2}{x})

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\int x \cdot cos (k x) d x

Frequently Asked Questions (FAQ)

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