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anonymous

  • 5 years ago

Can anything be said about the graph of a function that has a 2nd derivative that is always equal to zero. Please give reason(s) for your answer.

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  1. anonymous
    • 5 years ago
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    If the second derivative is always 0, then the first derivative must always be a constant. If the first derivative is a constant then the function must be a line (the slope of the line never changes).

  2. anonymous
    • 5 years ago
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    Does that make sense?

  3. anonymous
    • 5 years ago
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    yes

  4. anonymous
    • 5 years ago
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    thx

  5. anonymous
    • 5 years ago
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    the function is "linear" as polpak just said.

  6. amistre64
    • 5 years ago
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    the function would be a horizontal line right?

  7. amistre64
    • 5 years ago
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    y = 4 y'=0

  8. anonymous
    • 5 years ago
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    not necessarily

  9. amistre64
    • 5 years ago
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    are we talking about the value for y'? or y' itself?

  10. anonymous
    • 5 years ago
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    y'' = 0, Therefore y' = C, therefore y = Cx

  11. amistre64
    • 5 years ago
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    ahhh.... y'' these old eyes cant see that much anynore :)

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