12th grade calculus

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Let f(x)=[x^3-9x]

[] --- absolute value

a. does f'(x) exist?
b. does f'(3) exist?
c. does f'(-3) exist?
d. determine all extrema of f.

  • 12th grade calculus -

    I will be happy to critique your thinking. Remember, you need to work on either side of x=3 here, and on either side of x=-3.

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