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Evaluate
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Differentiate w.r.t. x
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2^{1}x^{1}y^{2}\times 3^{1}x^{1}y^{2}
Use the rules of exponents to simplify the expression.
2^{1}\times 3^{1}x^{1}x^{1}y^{2}y^{2}
Use the Commutative Property of Multiplication.
2^{1}\times 3^{1}x^{1+1}y^{2+2}
To multiply powers of the same base, add their exponents.
2^{1}\times 3^{1}x^{2}y^{2+2}
Add the exponents 1 and 1.
2^{1}\times 3^{1}x^{2}y^{4}
Add the exponents 2 and 2.
6x^{2}y^{4}
Multiply 2 times 3.