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Differentiate w.r.t. x
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\frac{\mathrm{d}}{\mathrm{d}x}(7-8x^{30})
Multiply 3 and 10 to get 30.
30\left(-8\right)x^{30-1}
The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of ax^{n} is nax^{n-1}.
-240x^{30-1}
Multiply 30 times -8.
-240x^{29}
Subtract 1 from 30.
7-8x^{30}
Multiply 3 and 10 to get 30.