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Popular >

derivative of 5x^2-x^{1/3}

Solution

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

Solution

\frac{- 1 + 30 x ^{\frac{5}{3}}}{3 x ^{\frac{2}{3}}}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d}{d x} (5 x^{2}) = 10 x

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

= 10 x - \frac{1}{3 x ^{\frac{2}{3}}}

Simplify

10 x - \frac{1}{3 x ^{\frac{2}{3}}} : \frac{- 1 + 30 x ^{\frac{5}{3}}}{3 x ^{\frac{2}{3}}}

= \frac{- 1 + 30 x ^{\frac{5}{3}}}{3 x ^{\frac{2}{3}}}

Graph

Popular Examples

integral of (3v)/(1-4v^2)

\int \frac{3 v}{1 - 4 v ^{2}} d v

tangent of f(x)=x^5+3x^2+2x,\at x=-1 tangent of

f (x) = x^{5} + 3 x^{2} + 2 x, at x = - 1

tangent of 3x^2-4x+6 tangent of

3 x^{2} - 4 x + 6

limit as x approaches-infinity of-2e^x

x \to - \infty lim (- 2 e^{x})

(\partial)/(\partial y)((x-y)/(xy+2))

\frac{\partial}{\partial y} (\frac{x - y}{x y + 2})

Frequently Asked Questions (FAQ)

What is the derivative of 5x^2-x^{1/3} ?
The derivative of 5x^2-x^{1/3} is (-1+30x^{5/3})/(3x^{2/3)}
What is the first derivative of 5x^2-x^{1/3} ?
The first derivative of 5x^2-x^{1/3} is (-1+30x^{5/3})/(3x^{2/3)}