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Differentiate w.r.t. x
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\frac{\mathrm{d}}{\mathrm{d}x}(35x^{7})
Multiply 5 and 7 to get 35.
7\times 35x^{7-1}
The derivative of ax^{n} is nax^{n-1}.
245x^{7-1}
Multiply 7 times 35.
245x^{6}
Subtract 1 from 7.
35x^{7}
Multiply 5 and 7 to get 35.