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

Mathematics
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Find f' Set f'=0
Solve f'=0 for x :)
Dont you have to set the derivative equal to 0?

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Other answers:

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

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