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Popular >

derivative of 2sqrt(x^3)+2/(sqrt(x^3))

Solution

\frac{d}{d x} (2 x^{3} + \frac{2}{x ^{3}})

Solution

3 x - \frac{3}{x ^{\frac{5}{2}}}

Solution steps

\frac{d}{d x} (2 x^{3} + \frac{2}{x ^{3}})

Apply the Sum/Difference Rule:

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

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

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

\frac{d}{d x} (\frac{2}{x ^{3}}) = - \frac{3}{x ^{\frac{5}{2}}}

= 3 x - \frac{3}{x ^{\frac{5}{2}}}

Graph

Popular Examples

(dy)/(dx)=0.0019y(1000-y)

\frac{d y}{d x} = 0.0019 y (1000 - y)

y^{1/2}(dy)/(dx)+y^{3/2}=1,y(0)=4

y^{\frac{1}{2}} \frac{d y}{d x} + y^{\frac{3}{2}} = 1, y (0) = 4

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\int \frac{5 + 7 x}{1 + x ^{2}} d x

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Frequently Asked Questions (FAQ)

What is the derivative of 2sqrt(x^3)+2/(sqrt(x^3)) ?
The derivative of 2sqrt(x^3)+2/(sqrt(x^3)) is 3sqrt(x)-3/(x^{5/2)}
What is the first derivative of 2sqrt(x^3)+2/(sqrt(x^3)) ?
The first derivative of 2sqrt(x^3)+2/(sqrt(x^3)) is 3sqrt(x)-3/(x^{5/2)}