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Differentiate w.r.t. b
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Evaluate
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\frac{\mathrm{d}}{\mathrm{d}b}(2b^{3})
To multiply powers of the same base, add their exponents. Add -5 and 8 to get 3.
3\times 2b^{3-1}
The derivative of ax^{n} is nax^{n-1}.
6b^{3-1}
Multiply 3 times 2.
6b^{2}
Subtract 1 from 3.
2b^{3}
To multiply powers of the same base, add their exponents. Add -5 and 8 to get 3.