What is the derivative of y=x^{(7/3)} ?

The derivative of y=x^{(7/3)} is (7x^{4/3})/3

What is the first derivative of y=x^{(7/3)} ?

The first derivative of y=x^{(7/3)} is (7x^{4/3})/3

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derivative

\frac{7 x ^{\frac{4}{3}}}{3}

Solution steps

\frac{d}{d x} (x^{\frac{7}{3}})

Apply the Power Rule:

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

= \frac{7}{3} x^{\frac{7}{3} - 1}

Simplify

\frac{7}{3} x^{\frac{7}{3} - 1} : \frac{7 x ^{\frac{4}{3}}}{3}

= \frac{7 x ^{\frac{4}{3}}}{3}

What is the derivative of y=x^{(7/3)} ?
The derivative of y=x^{(7/3)} is (7x^{4/3})/3
What is the first derivative of y=x^{(7/3)} ?
The first derivative of y=x^{(7/3)} is (7x^{4/3})/3