anonymous
  • anonymous
(2/4x)^(4)+(10/3x)^(3)+(-32/2x)^(2)-160x find the critical points
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
critical points are any points where: the derivative of your function = 0, or do not exist and also exist inside the domain of your original function
anonymous
  • anonymous
i took the derivative and got 2x^3+10x^2-32x-160 now i just set that equal to zero to find the critical points?
anonymous
  • anonymous
yep, since you have a polynomial function, that means there are no points on your derivative where the derivative does not exist (it's continous and differentiable along the entire domain) that leaves the other condition: setting your derivative = 0 and solving for the critical points. once you are done with that, you need to make sure that the all the critical points you find exist in the domain of your original function. (i.e., you don't get errors if you plug them in to your function f(x) )

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anonymous
  • anonymous
i got -5,-4,and 4
anonymous
  • anonymous
plug it into the original funtion to see if it is a max or min right?
anonymous
  • anonymous
that is one way to do it

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