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Differentiate w.r.t. x
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0.16\times 51.02x^{0.16-1}
The derivative of ax^{n} is nax^{n-1}.
8.1632x^{0.16-1}
Multiply 0.16 times 51.02 by multiplying numerator times numerator and denominator times denominator. Then reduce the fraction to lowest terms if possible.
8.1632x^{-0.84}
Subtract 1 from 0.16.