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Differentiate w.r.t. x
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\frac{\mathrm{d}}{\mathrm{d}x}(50000x^{40})
Divide 2000000x^{40} by 40 to get 50000x^{40}.
40\times 50000x^{40-1}
The derivative of ax^{n} is nax^{n-1}.
2000000x^{40-1}
Multiply 40 times 50000.
2000000x^{39}
Subtract 1 from 40.
50000x^{40}
Divide 2000000x^{40} by 40 to get 50000x^{40}.