What is the derivative of x^{12/7} ?

The derivative of x^{12/7} is (12x^{5/7})/7

What is the first derivative of x^{12/7} ?

The first derivative of x^{12/7} is (12x^{5/7})/7

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derivative of

x^{\frac{12}{7}}

\frac{12 x ^{\frac{5}{7}}}{7}

Solution steps

\frac{d}{d x} (x^{\frac{12}{7}})

Apply the Power Rule:

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

= \frac{12}{7} x^{\frac{12}{7} - 1}

Simplify

\frac{12}{7} x^{\frac{12}{7} - 1} : \frac{12 x ^{\frac{5}{7}}}{7}

= \frac{12 x ^{\frac{5}{7}}}{7}

What is the derivative of x^{12/7} ?
The derivative of x^{12/7} is (12x^{5/7})/7
What is the first derivative of x^{12/7} ?
The first derivative of x^{12/7} is (12x^{5/7})/7