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Differentiate w.r.t. y
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\frac{\mathrm{d}}{\mathrm{d}y}(1000y^{6})
Calculate 10 to the power of 3 and get 1000.
6\times 1000y^{6-1}
The derivative of ax^{n} is nax^{n-1}.
6000y^{6-1}
Multiply 6 times 1000.
6000y^{5}
Subtract 1 from 6.
1000y^{6}
Calculate 10 to the power of 3 and get 1000.