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Differentiate w.r.t. x
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\frac{\mathrm{d}}{\mathrm{d}x}(x^{7})
Calculate 7 to the power of 1 and get 7.
7x^{7-1}
The derivative of ax^{n} is nax^{n-1}.
7x^{6}
Subtract 1 from 7.
x^{7}
Calculate 7 to the power of 1 and get 7.