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Popular >

derivative of 4x^{-1/3}

Solution

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

Solution

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

Solution steps

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

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

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

Apply the Power Rule:

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

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

Simplify

4 (- \frac{1}{3} x^{- \frac{1}{3} - 1}) : - \frac{4}{3 x ^{\frac{4}{3}}}

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

Popular Examples

y(6y^2-x-1)dx+2xdy=0

y (6 y^{2} - x - 1) d x + 2 x d y = 0

derivative of (sin(x)/(cos^3(x)))

\frac{d}{d x} (\frac{sin ( x )}{cos ^{3} ( x )})

tangent of f(x)= 2/(sqrt(x+5)),\at x=4 tangent of

f (x) = \frac{2}{x + 5}, at x = 4

sum from n=1 to infinity of 6/(n^3)

n = 1 \sum \infty \frac{6}{n ^{3}}

integral of (4x^2-2sqrt(x))/x

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

Frequently Asked Questions (FAQ)

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