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Differentiate w.r.t. x
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\frac{\mathrm{d}}{\mathrm{d}x}(-7x^{6})
Combine x^{6} and -8x^{6} to get -7x^{6}.
6\left(-7\right)x^{6-1}
The derivative of ax^{n} is nax^{n-1}.
-42x^{6-1}
Multiply 6 times -7.
-42x^{5}
Subtract 1 from 6.
-7x^{6}
Combine x^{6} and -8x^{6} to get -7x^{6}.