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

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

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

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

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derivative of

h (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}

\frac{d ^{2}}{d x ^{2}} (4 x^{3} - 3 x^{4})

x \to 0 lim (\frac{ln ( x )}{\frac{1}{x}})

\int_{0}^{8} 64 - x^{2} d x

\int_{0}^{1} t e^{- 1} d t

(x^{2} + 1) (\frac{d y}{d x}) + 8 x (y - 1) = 0, y (0) = 5

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