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Differentiate w.r.t. x
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Evaluate
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\frac{\mathrm{d}}{\mathrm{d}x}(6x^{7})
Combine -6x^{7} and 12x^{7} to get 6x^{7}.
7\times 6x^{7-1}
The derivative of ax^{n} is nax^{n-1}.
42x^{7-1}
Multiply 7 times 6.
42x^{6}
Subtract 1 from 7.
6x^{7}
Combine -6x^{7} and 12x^{7} to get 6x^{7}.