What is the derivative of x^{6/5} ?

The derivative of x^{6/5} is (6x^{1/5})/5

What is the first derivative of x^{6/5} ?

The first derivative of x^{6/5} is (6x^{1/5})/5

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derivative of

x^{\frac{6}{5}}

\frac{6 x ^{\frac{1}{5}}}{5}

Solution steps

\frac{d}{d x} (x^{\frac{6}{5}})

Apply the Power Rule:

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

= \frac{6}{5} x^{\frac{6}{5} - 1}

Simplify

\frac{6}{5} x^{\frac{6}{5} - 1} : \frac{6 x ^{\frac{1}{5}}}{5}

= \frac{6 x ^{\frac{1}{5}}}{5}

y^{^{''}} - 4 y^{^{'}} - 5 y = 9 e^{2 t}

\int - π cos (π) x d x

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

\int sec (2)

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

What is the derivative of x^{6/5} ?
The derivative of x^{6/5} is (6x^{1/5})/5
What is the first derivative of x^{6/5} ?
The first derivative of x^{6/5} is (6x^{1/5})/5