What is the derivative of x^{5/3} ?

The derivative of x^{5/3} is (5x^{2/3})/3

What is the first derivative of x^{5/3} ?

The first derivative of x^{5/3} is (5x^{2/3})/3

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\frac{d}{d x} (x^{\frac{5}{3}})

\frac{5 x ^{\frac{2}{3}}}{3}

Solution steps

\frac{d}{d x} (x^{\frac{5}{3}})

Apply the Power Rule:

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

= \frac{5}{3} x^{\frac{5}{3} - 1}

Simplify

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

= \frac{5 x ^{\frac{2}{3}}}{3}

2 t e^{- 5 t}

\frac{d}{d x} (10 x - 1.86 x^{2})

\frac{\partial}{\partial x} (y^{8 x})

x \to \frac{1}{2} lim (\frac{x ^{2}}{x - 1})

y = tan^{2} (9 x)

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