Differentiate w.r.t. x
\frac{10}{27x^{\frac{2}{3}}}
Evaluate
\frac{10\sqrt[3]{x}}{9}
Graph
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\frac{1}{3}\times \frac{10}{9}x^{\frac{1}{3}-1}
The derivative of ax^{n} is nax^{n-1}.
\frac{10}{27}x^{\frac{1}{3}-1}
Multiply \frac{1}{3} times \frac{10}{9} by multiplying numerator times numerator and denominator times denominator. Then reduce the fraction to lowest terms if possible.
\frac{10}{27}x^{-\frac{2}{3}}
Subtract 1 from \frac{1}{3}.
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Limits
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