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Differentiate w.r.t. x
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\frac{\mathrm{d}}{\mathrm{d}x}(\frac{7}{2}x^{4})
Divide 28x^{4} by 8 to get \frac{7}{2}x^{4}.
4\times \frac{7}{2}x^{4-1}
The derivative of ax^{n} is nax^{n-1}.
14x^{4-1}
Multiply 4 times \frac{7}{2}.
14x^{3}
Subtract 1 from 4.
\frac{7}{2}x^{4}
Divide 28x^{4} by 8 to get \frac{7}{2}x^{4}.