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Idealist

  • 3 years ago

Let f"(x)=4x^3-2x and let f(x) have critical values -1, 0, and 1. Determine which critical values give a relative maximum.

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  1. dtran20
    • 3 years ago
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    put those critical values into second derivative to find concave up or down. Concave down means max, concave down means min

  2. Idealist
    • 3 years ago
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    So is 1 the answer?

  3. dtran20
    • 3 years ago
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    what's the definition of concave up and concave down?

  4. Idealist
    • 3 years ago
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    Concave up means increasing where concave down means decreasing. So to find the maximum, you plug each critical values into the function to see which value gives you the greatest number, right?

  5. dtran20
    • 3 years ago
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    i meant to said f''[x]>0 means what? concave up or down? f''[x]<0 means what? up or down? f''[x]=0 means what?

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