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Popular >

derivative of f(x)=4sqrt(x)-8/(sqrt(x))

Solution

derivative of

f (x) = 4 x - \frac{8}{x}

Solution

\frac{2}{x} + \frac{4}{x ^{\frac{3}{2}}}

Solution steps

\frac{d}{d x} (4 x - \frac{8}{x})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (4 x) - \frac{d}{d x} (\frac{8}{x})

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

\frac{d}{d x} (\frac{8}{x}) = - \frac{4}{x ^{\frac{3}{2}}}

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

Simplify

= \frac{2}{x} + \frac{4}{x ^{\frac{3}{2}}}

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x \to 1 lim (\frac{7}{1 - x})

(\partial)/(\partial x)(y-e^{-2x^2y})

\frac{\partial}{\partial x} (y - e^{- 2 x^{2} y})

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Frequently Asked Questions (FAQ)

What is the derivative of f(x)=4sqrt(x)-8/(sqrt(x)) ?
The derivative of f(x)=4sqrt(x)-8/(sqrt(x)) is 2/(sqrt(x))+4/(x^{3/2)}
What is the first derivative of f(x)=4sqrt(x)-8/(sqrt(x)) ?
The first derivative of f(x)=4sqrt(x)-8/(sqrt(x)) is 2/(sqrt(x))+4/(x^{3/2)}