What is the derivative of x^{8/3} ?

The derivative of x^{8/3} is (8x^{5/3})/3

What is the first derivative of x^{8/3} ?

The first derivative of x^{8/3} is (8x^{5/3})/3

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\frac{d}{d x} (x^{\frac{8}{3}})

\frac{8 x ^{\frac{5}{3}}}{3}

Solution steps

\frac{d}{d x} (x^{\frac{8}{3}})

Apply the Power Rule:

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

= \frac{8}{3} x^{\frac{8}{3} - 1}

Simplify

\frac{8}{3} x^{\frac{8}{3} - 1} : \frac{8 x ^{\frac{5}{3}}}{3}

= \frac{8 x ^{\frac{5}{3}}}{3}

\int_{1}^{\infty} e^{- 7 x} d x

\frac{d}{d x} (a cos (x - \frac{π}{2}) + b)

\int e^{- t (s + 5)} d t

e^{2 x}, 2

\frac{\partial}{\partial z} (e^{x y} ln (z))

What is the derivative of x^{8/3} ?
The derivative of x^{8/3} is (8x^{5/3})/3
What is the first derivative of x^{8/3} ?
The first derivative of x^{8/3} is (8x^{5/3})/3