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Popular Calculus >

derivative of 2/(x^{1/3}-2)

Solution

\frac{d}{d x} (\frac{2}{x ^{\frac{1}{3}}} - 2)

Solution

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

Solution steps

\frac{d}{d x} (\frac{2}{x ^{\frac{1}{3}}} - 2)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{2}{x ^{\frac{1}{3}}}) - \frac{d}{d x} (2)

\frac{d}{d x} (\frac{2}{x ^{\frac{1}{3}}}) = - \frac{2}{3 x ^{\frac{4}{3}}}

\frac{d}{d x} (2) = 0

= - \frac{2}{3 x ^{\frac{4}{3}}} - 0

Simplify

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

Graph

Popular Examples

y^{''}-2y^'+5y=5,y(0)=2,y^'(0)=1

y^{^{''}} - 2 y^{^{'}} + 5 y = 5, y (0) = 2, y^{^{'}} (0) = 1

tangent of f(x)=((x-3)/(x+1))^2,\at x=0

t an g e n t f (x) = (\frac{x - 3}{x + 1})^{2}, at x = 0

integral of ye^{3y}

\int y e^{3 y} d y

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\int \frac{sin ( x )}{3} d x

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\int_{1}^{2} (x^{2} - 4) d x

Frequently Asked Questions (FAQ)

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