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anonymous

  • 5 years ago

I have a question on a limit function....

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  1. anonymous
    • 5 years ago
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    Let's hear it.

  2. anonymous
    • 5 years ago
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    give me one sec. thanks

  3. anonymous
    • 5 years ago
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    f(x+(delta)x) - f(x)/(delta)x lim as (delta)x approaches 0..... f(x) = x^2 - 4x

  4. amistre64
    • 5 years ago
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    -4?

  5. watchmath
    • 5 years ago
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    good amistre64 :)

  6. amistre64
    • 5 years ago
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    all that verbiage to say; whats f'(0) lol

  7. anonymous
    • 5 years ago
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    I'm getting stuck on the algebra...... I have 2x-4 for some reason

  8. amistre64
    • 5 years ago
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    and when x = 0 what doe you get?

  9. anonymous
    • 5 years ago
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    No, it's (delta)X

  10. amistre64
    • 5 years ago
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    deltax = h; just say h

  11. anonymous
    • 5 years ago
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    (delta)x goes to 0

  12. anonymous
    • 5 years ago
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    ok

  13. amistre64
    • 5 years ago
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    or if you wanna get really wild: delta x = partitional section of the distances from x to som interval that goes to zero; but h is simpler eh lol

  14. anonymous
    • 5 years ago
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    si

  15. anonymous
    • 5 years ago
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    f(x+h) - f(x)/h

  16. amistre64
    • 5 years ago
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    (x+h)^2 -4(x+h)-(x^2 -4x) //h x^2 +h^2 +2xh -4x -4h -x^2+4x//h

  17. anonymous
    • 5 years ago
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    when the function is f(x) = x^2-4

  18. anonymous
    • 5 years ago
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    I'm getting stuck with the 2xh

  19. amistre64
    • 5 years ago
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    cancel the terms that cancel and get: h^2 +2xh -4h//h h + 2x -4 when h = 0 is 2x -4

  20. amistre64
    • 5 years ago
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    the derivative of x^2-4x IS 2x -4

  21. anonymous
    • 5 years ago
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    not taking derivatives yet....

  22. amistre64
    • 5 years ago
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    your learning that the longway to get to the derivative just proves the shortcut methods lol

  23. anonymous
    • 5 years ago
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    ok so 2x-4 is the limit?

  24. amistre64
    • 5 years ago
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    oh yes, you are..

  25. anonymous
    • 5 years ago
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    we are trying to find L

  26. amistre64
    • 5 years ago
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    and yes, the lim would be 2x-4; since the lim as h->0 of f(x) is the definition of a derivative

  27. anonymous
    • 5 years ago
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    OK thank you. I just wanted to make sure.

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