Differentiate w.r.t. x
\frac{1}{12\sqrt[3]{x}}
Evaluate
\frac{x^{\frac{2}{3}}}{8}
Graph
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\frac{2}{3}\times \frac{1}{8}x^{\frac{2}{3}-1}
The derivative of ax^{n} is nax^{n-1}.
\frac{1}{12}x^{\frac{2}{3}-1}
Multiply \frac{2}{3} times \frac{1}{8} by multiplying numerator times numerator and denominator times denominator. Then reduce the fraction to lowest terms if possible.
\frac{1}{12}x^{-\frac{1}{3}}
Subtract 1 from \frac{2}{3}.
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