Differentiate w.r.t. x
\frac{27x^{12.5}}{200}
Evaluate
\frac{x^{13.5}}{100}
Graph
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13.5\times \frac{1}{100}x^{13.5-1}
The derivative of ax^{n} is nax^{n-1}.
\frac{27}{200}x^{13.5-1}
Multiply 13.5 times \frac{1}{100} by multiplying numerator times numerator and denominator times denominator. Then reduce the fraction to lowest terms if possible.
\frac{27}{200}x^{12.5}
Subtract 1 from 13.5.
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