Posted by Beth on Monday, March 7, 2011 at 2:43am.
y = (9x^2 + x)(x − x^2)
You could expand the expression to four (reduceable to three) terms and then differentiate term by term, OR use formula for derivative of the product of two functions. The answer will be the same.
They apparently want you to use the second method, which gives
dy/dx = (x - x^2)*(18x + 1) + (9x^2 + x)(1 -2x)
You could expand and combine terms, but they don't ask you to.
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