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Differentiate w.r.t. x
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Evaluate
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\frac{\mathrm{d}}{\mathrm{d}x}(8x^{5})
Combine 2x^{5} and 6x^{5} to get 8x^{5}.
5\times 8x^{5-1}
The derivative of ax^{n} is nax^{n-1}.
40x^{5-1}
Multiply 5 times 8.
40x^{4}
Subtract 1 from 5.
8x^{5}
Combine 2x^{5} and 6x^{5} to get 8x^{5}.