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PLEASE HELP!! DESPERATE!!! (MATH)

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The derivative of a function is f'(x)=x(x+2)(x-5). Find the value of x at each point where f has a
(a) local maximum,
(b) local minimum, or
(c) point of inflection

  • PLEASE HELP!! DESPERATE!!! (MATH) - ,

    Set f'=0

    x=0,-2,5 for f' to be zero.

    maximum is when f" is negative
    a) f"=(x+2)(x-5)+x(x-5)+(x(x+2)
    at x=0, f"=-10 so x=0 is max
    b. f" at x=-2
    f"=(0+ -2(-7) = positive, so at x=-2, it is minimum
    c. f" at x=5
    f"=0+0+35 positive, local maximum

    check my calcs

  • PLEASE HELP!! DESPERATE!!! (MATH) - ,

    oops, when f" is 35, local min

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