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

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

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

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

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derivative of

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

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

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule:

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

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

Simplify

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

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

\frac{d}{d x} (\frac{sin ( x ) - 1}{cos ( x ) + 1})

\int \frac{x + 4}{x ^{2} - 2 x + 1} d x

\frac{d}{d x} (arctan (\frac{x ^{2}}{y}))

11 x^{\frac{1}{2}} + x^{\frac{3}{2}}

\int_{1}^{e} ln (5 x) d x

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