What is the derivative of f(x)=x^{6/5} ?

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

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

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

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derivative of

f (x) = 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^{^{''}} - y^{^{'}} + 2 y = 0

\frac{\partial}{\partial x} (e^{y} + x + x^{3} + 5)

\int_{- 1}^{1} (t^{3} - 9 t) d t

\frac{2}{x - 6}

y^{^{'}} - 2 x y = x y^{2}

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