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Popular Calculus >

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

Solution

derivative of

\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

2 y^{^{'}} + t y = 7

derivative of (3x-1/(2x+5))

\frac{d}{d x} (\frac{3 x - 1}{2 x + 5})

derivative of f(x)=7^x derivative of

f (x) = 7^{x}

laplacetransform 2/3 t^3*e^{-8t}laplace transform

\frac{2}{3} t^{3} \cdot e^{- 8 t}

derivative of 4/(x^2-2/x)

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