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Differentiate w.r.t. b
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\frac{\mathrm{d}}{\mathrm{d}b}(-5b^{4})
Combine -8b^{4} and 3b^{4} to get -5b^{4}.
4\left(-5\right)b^{4-1}
The derivative of ax^{n} is nax^{n-1}.
-20b^{4-1}
Multiply 4 times -5.
-20b^{3}
Subtract 1 from 4.
-5b^{4}
Combine -8b^{4} and 3b^{4} to get -5b^{4}.