What is the derivative of x^{8/5} ?

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

What is the first derivative of x^{8/5} ?

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

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\frac{d}{d x} (x^{\frac{8}{5}})

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

Solution steps

\frac{d}{d x} (x^{\frac{8}{5}})

Apply the Power Rule:

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

= \frac{8}{5} x^{\frac{8}{5} - 1}

Simplify

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

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

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

\frac{d}{d θ} (sec (θ) \cdot tan (θ))

\int \frac{x}{2 x} d x

\int t^{2} sin (2 t) d t

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