Suppose that βfβ(9) β=β 8, βg(9) β=β β7, βfββ²(9) β=β β6, βand βgβ²(9) β=β 5. Let h(x) β=β βfβ(x) g(x) β.β Find hβ²(9).
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The product rule states that if we have two functions u(x) and v(x), then the derivative of their product is given by: (h(x))' = u'(x)v(x) + u(x)v'(x) In this case, u(x) = f(x) and v(x) = g(x). So, we have: h'(x) = f'(x)g(x) + f(x)g'(x) Now, we can substitute Show moreβ¦
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