Differentiate w.r.t. x
\frac{27}{4\sqrt[4]{x}}
Evaluate
9x^{\frac{3}{4}}
Graph
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\frac{3}{4}\times 9x^{\frac{3}{4}-1}
The derivative of ax^{n} is nax^{n-1}.
\frac{27}{4}x^{\frac{3}{4}-1}
Multiply \frac{3}{4} times 9.
\frac{27}{4}x^{-\frac{1}{4}}
Subtract 1 from \frac{3}{4}.
9x^{\frac{3}{4}}
Reduce the fraction \frac{75}{100} to lowest terms by extracting and canceling out 25.
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