(adsbygoogle = window.adsbygoogle || []).push({}); Need help differentiating multiple quantities

1. The problem statement, all variables and given/known data

[itex]f′(x) = (x − 1)(x − 2)^2(x − 3)^3(x − 4)^4(x − 5)^5[/itex]

I need help in trying to differentiate this equation. I know could use a combination of the chain and product rule to figure it out, but my teacher said that doing so would take a while and the resulting equation before simplifying would be very long and convoluted and didn't want us to do it that way.

My teacher told me she already taught us a method of doing derivatives of long equations a while ago, but I can't remember that method. Any help in either solving it or just giving me the setup of this "shorter" method is appreciated. (prefer the latter since then it gives me a chance to practice it)

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# Homework Help: Need help deriving multiple quantities

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