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monroe17

  • 3 years ago

If f'(x)=0 at each x of an open interval (a,b), then f(x)=C is a constant for all x in (a,b) true or false? can you explain why as well?

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  1. cwrw238
    • 3 years ago
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    f'(x) is the slope of tangent at all points in (a,b) so the graph is a horizontal line so f(x) is a constant C

  2. monroe17
    • 3 years ago
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    so true.

  3. cwrw238
    • 3 years ago
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    yes

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