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Differentiate w.r.t. c
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60^{1}c^{1}m^{1}\times 49^{1}c^{1}m^{1}
Use the rules of exponents to simplify the expression.
60^{1}\times 49^{1}c^{1}c^{1}m^{1}m^{1}
Use the Commutative Property of Multiplication.
60^{1}\times 49^{1}c^{1+1}m^{1+1}
To multiply powers of the same base, add their exponents.
60^{1}\times 49^{1}c^{2}m^{1+1}
Add the exponents 1 and 1.
60^{1}\times 49^{1}c^{2}m^{2}
Add the exponents 1 and 1.
2940c^{2}m^{2}
Multiply 60 times 49.