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Differentiate w.r.t. c
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-5a^{6}bc\left(-10\right)b
To multiply powers of the same base, add their exponents. Add 4 and 2 to get 6.
-5a^{6}b^{2}c\left(-10\right)
Multiply b and b to get b^{2}.
50a^{6}b^{2}c
Multiply -5 and -10 to get 50.