What is the derivative of x-x^{2/3} ?

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

What is the first derivative of x-x^{2/3} ?

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

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

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

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

\frac{d}{d x} (- 2 cos (x))

y^{^{'}} = \frac{y}{1 - x} + \frac{2}{1 - x} + 3

\frac{d}{d x} (1 + tan (x))

f (X) = 4 X^{3} - 1

\frac{( q x + r )}{s x + t}

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