What is the derivative of x^{0.7} ?

The derivative of x^{0.7} is (0.7)/(x^{0.3)}

What is the first derivative of x^{0.7} ?

The first derivative of x^{0.7} is (0.7)/(x^{0.3)}

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\frac{d}{d x} (x^{0.7})

\frac{0.7}{x ^{0.3}}

Solution steps

\frac{d}{d x} (x^{0.7})

Apply the Power Rule:

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

= 0.7 x^{0.7 - 1}

Simplify

0.7 x^{0.7 - 1} : \frac{0.7}{x ^{0.3}}

= \frac{0.7}{x ^{0.3}}

What is the derivative of x^{0.7} ?
The derivative of x^{0.7} is (0.7)/(x^{0.3)}
What is the first derivative of x^{0.7} ?
The first derivative of x^{0.7} is (0.7)/(x^{0.3)}