starwarsfan2735 starwarsfan2735
  • 19-09-2018
  • Mathematics
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How many critical nubmers does the function f(x) = (x+2)^3(2x-5)^2 have?

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sqdancefan
sqdancefan sqdancefan
  • 19-09-2018

We know there will be zeros in the function and in the derivative at the repeated roots, so at least 2 critical points. There will be one more zero in the derivative between those roots, for a total of 3 critical points.

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