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Differentiate w.r.t. x
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\frac{\mathrm{d}}{\mathrm{d}x}(\frac{7}{3}x^{6})
Multiply \frac{1}{3} and 7 to get \frac{7}{3}.
6\times \frac{7}{3}x^{6-1}
The derivative of ax^{n} is nax^{n-1}.
14x^{6-1}
Multiply 6 times \frac{7}{3}.
14x^{5}
Subtract 1 from 6.
\frac{7}{3}x^{6}
Multiply \frac{1}{3} and 7 to get \frac{7}{3}.