What is the derivative of y=x^{0.4} ?

The derivative of y=x^{0.4} is (0.4)/(x^{0.6)}

What is the first derivative of y=x^{0.4} ?

The first derivative of y=x^{0.4} is (0.4)/(x^{0.6)}

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derivative of

y = x^{0.4}

\frac{0.4}{x ^{0.6}}

Solution steps

\frac{d}{d x} (x^{0.4})

Apply the Power Rule:

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

= 0.4 x^{0.4 - 1}

Simplify

0.4 x^{0.4 - 1} : \frac{0.4}{x ^{0.6}}

= \frac{0.4}{x ^{0.6}}

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What is the derivative of y=x^{0.4} ?
The derivative of y=x^{0.4} is (0.4)/(x^{0.6)}
What is the first derivative of y=x^{0.4} ?
The first derivative of y=x^{0.4} is (0.4)/(x^{0.6)}