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Differentiate w.r.t. x
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6x^{6-1}+8\left(-1\right)x^{8-1}
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}.
6x^{5}+8\left(-1\right)x^{8-1}
Subtract 1 from 6.
6x^{5}-8x^{8-1}
Multiply 8 times -1.
6x^{5}-8x^{7}
Subtract 1 from 8.