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Question

For some constant a and b, find the derivative of the following functions:
(xa)(xb).

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Solution

Let f(x)=(xa)(xb)
f(x)=x2(a+b)x+ab
f(x)=ddx(x2(a+b)x+ab)
= ddx(x2)(a+b)ddx(x)+ddx(ab)
=2x(a+b)+0=2xab

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