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Differentiate w.r.t. b
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\frac{\mathrm{d}}{\mathrm{d}b}(-45b^{6})
Combine -15b^{6} and -30b^{6} to get -45b^{6}.
6\left(-45\right)b^{6-1}
The derivative of ax^{n} is nax^{n-1}.
-270b^{6-1}
Multiply 6 times -45.
-270b^{5}
Subtract 1 from 6.
-45b^{6}
Combine -15b^{6} and -30b^{6} to get -45b^{6}.