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onegirl

  • 2 years ago

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

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  1. onegirl
    • 2 years ago
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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).

  2. onegirl
    • 2 years ago
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    @Loser66 can u help?

  3. Loser66
    • 2 years ago
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    @Spacelimbus please help her.

  4. zepdrix
    • 2 years ago
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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?

  5. onegirl
    • 2 years ago
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    yes B and D?

  6. zepdrix
    • 2 years ago
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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.

  7. onegirl
    • 2 years ago
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    okay

  8. zepdrix
    • 2 years ago
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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?

  9. onegirl
    • 2 years ago
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    yes it does so it will be D!

  10. zepdrix
    • 2 years ago
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    Yay good job.

  11. onegirl
    • 2 years ago
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    thanks!

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