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onegirl

Which of the following describes the general anti-derivative of a function?

  • 11 months ago
  • 11 months ago

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  1. onegirl
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    A. The anti-derivative of f (x) is integral sign f(x)dx = f'(x): , where f ‘(x) is the derivative of f(x). B. The anti-derivative of f (x) is integral sign f(x)dx = F(x): , where f(x) is the derivative of F(x). C. The anti-derivative of f (x) is integral sign f(x)dx = f'(x) + C: , where f ‘(x) is the derivative of f(x). D. The anti-derivative of f (x) is integral sign f(x)dx = F(x) + C : , where f(x) is the derivative of F(x).

    • 11 months ago
  2. onegirl
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    @Loser66 can u help?

    • 11 months ago
  3. Loser66
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    @Spacelimbus please help her.

    • 11 months ago
  4. zepdrix
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    Taking the integral of f(x) should not produce the `derivative f'(x)`. It should produce the anti-derivative. That information should allow us to cross off two of our options, do you see which?

    • 11 months ago
  5. onegirl
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    yes B and D?

    • 11 months ago
  6. zepdrix
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    It would eliminate A and C. See how they're producing a derivative as a result of integrating? That is not good.

    • 11 months ago
  7. onegirl
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    okay

    • 11 months ago
  8. zepdrix
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    So that leaves us with B or D? They're very similar. D claims that we should be getting a constant when we integrate. B does not. It's one of those two. Hmmmm. Can you remember anything about integrals? :) Does a constant of integration sound like something familiar, or no?

    • 11 months ago
  9. onegirl
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    yes it does so it will be D!

    • 11 months ago
  10. zepdrix
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    Yay good job.

    • 11 months ago
  11. onegirl
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    thanks!

    • 11 months ago
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