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Popular >

derivative of 4sqrt(x)+1/x

Solution

\frac{d}{d x} (4 x + \frac{1}{x})

Solution

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

Solution steps

\frac{d}{d x} (4 x + \frac{1}{x})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (4 x) + \frac{d}{d x} (\frac{1}{x})

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

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

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

Simplify

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

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

Graph

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n = 1 \sum \infty \frac{1}{n \cdot ln ( n )}

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\int 4 x \cdot e^{x^{2}} d x

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\int 3 x sec (x) tan (x) d x

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\frac{\partial}{\partial x} (x + y)

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\int x e^{- 4 x^{2}} d x

Frequently Asked Questions (FAQ)

What is the derivative of 4sqrt(x)+1/x ?
The derivative of 4sqrt(x)+1/x is (2x^{3/2}-1)/(x^{3/2)sqrt(x)}
What is the first derivative of 4sqrt(x)+1/x ?
The first derivative of 4sqrt(x)+1/x is (2x^{3/2}-1)/(x^{3/2)sqrt(x)}