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Evaluate
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Differentiate w.r.t. x
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\frac{x^{5}}{2}\times 2
Cancel out x in both numerator and denominator.
x^{5}
Cancel out 2 and 2.
\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x^{5}}{2}\times 2)
Cancel out x in both numerator and denominator.
\frac{\mathrm{d}}{\mathrm{d}x}(x^{5})
Cancel out 2 and 2.
5x^{5-1}
The derivative of ax^{n} is nax^{n-1}.
5x^{4}
Subtract 1 from 5.