anonymous
  • anonymous
find the extreme point(s) of the function f(x) = 0.25x^4 + 3x^3 - 18x^2 +10 and classify them
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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dumbcow
  • dumbcow
what do you mean by extreme points?
anonymous
  • anonymous
i think they mean extrema, maxima and minima, correct?
dumbcow
  • dumbcow
most likely, in that case differentiate and set equal to zero

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More answers

anonymous
  • anonymous
differentiate the equation. then use fishball method
anonymous
  • anonymous
f(x) = \[0.25x^4 + 3x^3 - 18x^2 +10\] Then differentiate f'(x) = \[x^3 + 9x^2 - 36x\]= \[x(x^2 + 9x - 36)\]= \[x(x+12)(x-3)\]
anonymous
  • anonymous
Then use fishball method -12 0 3 x - - - 0 + + + x+12 - 0 + + + + + x-3 - - - - - 0 + -------------------------------- - 0 + 0 - 0 + therefore, at x=-12 and x=3 there exists rel. min at x = 0, there exists rel max Hope I helped and I hope I did it right
dumbcow
  • dumbcow
yes i believe this is correct
anonymous
  • anonymous
Oh gosh thanks so much you guys this really helps

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