anonymous
  • anonymous
Find any critical numbers of the function f(x)=x^2(x^2−64).
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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myininaya
  • myininaya
Find f' Set f'=0
myininaya
  • myininaya
Solve f'=0 for x :)
anonymous
  • anonymous
Dont you have to set the derivative equal to 0?

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myininaya
  • myininaya
Yep.
anonymous
  • anonymous
I am confused on what the derivative is of this
myininaya
  • myininaya
You know product rule you have a function times another function. You have x^2 times (x^2-64)
myininaya
  • myininaya
\[(fg)'=f'g+fg' \]
anonymous
  • anonymous
okay thats what i thought
anonymous
  • anonymous
Then the two numbers that make that 0 are 0 and 8 i thought
myininaya
  • myininaya
You need to find [x^2(x^2-64)]'
myininaya
  • myininaya
You need to use the product rule.... Or! You could distribute x^2 first then just use power rule for both terms.
anonymous
  • anonymous
Okay after I have the derivative of that, what is the next step
anonymous
  • anonymous
2x(x^2-64)+x^2(2x)
anonymous
  • anonymous
?
myininaya
  • myininaya
Right! :) Now set that equal to 0 and solve for x.

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