What is the derivative of x-3x^{1/3} ?

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

What is the first derivative of x-3x^{1/3} ?

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

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derivative of

x - 3 x^{\frac{1}{3}}

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

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d x}{d x} = 1

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

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

\frac{d}{d p} (p^{4} + a^{6.2} - c^{6.3})

d er i v a t i v e 2 sin^{2} (x) - cos^{2} (x)

d er i v a t i v e y = - e^{x} (x^{2} - 2 x + 3)

d er i v a t i v e lo g_{10} (\frac{1 + x}{n})

d er i v a t i v e \frac{x ^{2}}{a ^{2}}

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