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Differentiate w.r.t. x
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5\left(-\frac{1}{2}\right)x^{5-1}
The derivative of ax^{n} is nax^{n-1}.
-\frac{5}{2}x^{5-1}
Multiply 5 times -\frac{1}{2}.
-\frac{5}{2}x^{4}
Subtract 1 from 5.