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rnotchick

  • 2 years ago

Find any critical numbers of the function f(x)=x^2(x^2−64).

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  1. myininaya
    • 2 years ago
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    Find f' Set f'=0

  2. myininaya
    • 2 years ago
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    Solve f'=0 for x :)

  3. rnotchick
    • 2 years ago
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    Dont you have to set the derivative equal to 0?

  4. myininaya
    • 2 years ago
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    Yep.

  5. rnotchick
    • 2 years ago
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    I am confused on what the derivative is of this

  6. myininaya
    • 2 years ago
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    You know product rule you have a function times another function. You have x^2 times (x^2-64)

  7. myininaya
    • 2 years ago
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    \[(fg)'=f'g+fg' \]

  8. rnotchick
    • 2 years ago
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    okay thats what i thought

  9. rnotchick
    • 2 years ago
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    Then the two numbers that make that 0 are 0 and 8 i thought

  10. myininaya
    • 2 years ago
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    You need to find [x^2(x^2-64)]'

  11. myininaya
    • 2 years ago
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    You need to use the product rule.... Or! You could distribute x^2 first then just use power rule for both terms.

  12. rnotchick
    • 2 years ago
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    Okay after I have the derivative of that, what is the next step

  13. rnotchick
    • 2 years ago
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    2x(x^2-64)+x^2(2x)

  14. rnotchick
    • 2 years ago
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    ?

  15. myininaya
    • 2 years ago
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    Right! :) Now set that equal to 0 and solve for x.

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