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What is dy/dx if y = (x2 + 2)3(x3 + 3)2? A. 3(x2 + 2)2(x3 + 3)2 + 2(x2 + 2)2(x3 + 3) B. 2x(x3 + 3)2 + 3x2(x2 + 2)3 C. 6x(x2 + 2)2(x3 +3)2 + 6x2(x2 + 2)3(x3 + 3) D. 6(x2 + 2)2(x3 + 3)
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Jan 18, 2018
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What is dy/dx if y = (x2 + 2)3(x3 + 3)2? A. 3(x2 + 2)2(x3 + 3)2 + 2(x2 + 2)2(x3 + 3) B. 2x(x3 + 3)2 + 3x2(x2 + 2)3 C. 6x(x2 + 2)2(x3 +3)2 + 6x2(x2 + 2)3(x3 + 3) D. 6(x2 + 2)2(x3 + 3)
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Jack Avante
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We want to find
, for
.
Recall the product rule: for 2 differentiable functions f and g, the derivative of their product is as follows:
.
Thus,
Answer: A)
.
HojjatK
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Jan 24, 2018
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