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Differentiate w.r.t. x
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\frac{\mathrm{d}}{\mathrm{d}x}(-50x^{10})
Multiply -5 and 10 to get -50.
10\left(-50\right)x^{10-1}
The derivative of ax^{n} is nax^{n-1}.
-500x^{10-1}
Multiply 10 times -50.
-500x^{9}
Subtract 1 from 10.
-50x^{10}
Multiply -5 and 10 to get -50.