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Differentiate w.r.t. x
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\frac{17}{31}\times \frac{1}{4}x^{\frac{17}{31}-1}
The derivative of ax^{n} is nax^{n-1}.
\frac{17}{124}x^{\frac{17}{31}-1}
Multiply \frac{17}{31} times \frac{1}{4} by multiplying numerator times numerator and denominator times denominator. Then reduce the fraction to lowest terms if possible.
\frac{17}{124}x^{-\frac{14}{31}}
Subtract 1 from \frac{17}{31}.
\frac{1}{4}x^{\frac{17}{31}}
Reduce the fraction \frac{34}{62} to lowest terms by extracting and canceling out 2.