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Popular >

derivative of f(x)=4sqrt(x)+6/(xsqrt(x))

Solution

derivative of

f (x) = 4 x + \frac{6}{x x}

Solution

\frac{2}{x} - \frac{9}{x ^{\frac{5}{2}}}

Solution steps

\frac{d}{d x} (4 x + \frac{6}{x x})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (4 x) + \frac{d}{d x} (\frac{6}{x x})

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

\frac{d}{d x} (\frac{6}{x x}) = - \frac{9}{x ^{\frac{5}{2}}}

= \frac{2}{x} - \frac{9}{x ^{\frac{5}{2}}}

Graph

Popular Examples

integral of (2z)/(z^2+1)

\int \frac{2 z}{z ^{2} + 1} d z

(\partial)/(\partial s)(ln(rs^8t^8)+1)

\frac{\partial}{\partial s} (ln (r s^{8} t^{8}) + 1)

derivative of cos(sin(e^x))derivative of

cos (sin (e^{x}))

integral from 1 to 2 of (2sqrt(x-1))/x

\int_{1}^{2} \frac{2 x - 1}{x} d x

t((dy)/(dt))+5y=4t,y(1)=2

t (\frac{d y}{d t}) + 5 y = 4 t, y (1) = 2

Frequently Asked Questions (FAQ)

What is the derivative of f(x)=4sqrt(x)+6/(xsqrt(x)) ?
The derivative of f(x)=4sqrt(x)+6/(xsqrt(x)) is 2/(sqrt(x))-9/(x^{5/2)}
What is the first derivative of f(x)=4sqrt(x)+6/(xsqrt(x)) ?
The first derivative of f(x)=4sqrt(x)+6/(xsqrt(x)) is 2/(sqrt(x))-9/(x^{5/2)}