Evaluate
\sqrt[6]{y}\sqrt[3]{x}
Differentiate w.r.t. x
\frac{\sqrt[6]{y}}{3x^{\frac{2}{3}}}
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\frac{x^{\frac{4}{3}}y^{\frac{7}{6}}}{x^{1}y^{1}}
Use the rules of exponents to simplify the expression.
x^{\frac{4}{3}-1}y^{\frac{7}{6}-1}
To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.
\sqrt[3]{x}y^{\frac{7}{6}-1}
Subtract 1 from \frac{4}{3}.
\sqrt[3]{x}\sqrt[6]{y}
Subtract 1 from \frac{7}{6}.
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