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Evaluate
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Differentiate w.r.t. b
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\frac{b^{2}c}{bc}
Multiply b and b to get b^{2}.
b
Cancel out bc in both numerator and denominator.
\frac{\mathrm{d}}{\mathrm{d}b}(\frac{bc}{c}b^{1-1})
To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.
\frac{\mathrm{d}}{\mathrm{d}b}(bb^{0})
Do the arithmetic.
\frac{\mathrm{d}}{\mathrm{d}b}(b)
For any number a except 0, a^{0}=1.
0
The derivative of a constant term is 0.