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Differentiate w.r.t. x
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\frac{\mathrm{d}}{\mathrm{d}x}(\frac{3}{2}x^{4})
Multiply 3 and \frac{1}{2} to get \frac{3}{2}.
4\times \frac{3}{2}x^{4-1}
The derivative of ax^{n} is nax^{n-1}.
6x^{4-1}
Multiply 4 times \frac{3}{2}.
6x^{3}
Subtract 1 from 4.
\frac{3}{2}x^{4}
Multiply 3 and \frac{1}{2} to get \frac{3}{2}.