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Christos

Derivatives, There is this problem that asks me to find the derivative of f(x)=2x^2 ONLY by making use of this formula: f'(x)=lim(h-->0)(f(x+h)-f(x))/h My Question is this: http://screencast.com/t/fdJEOQduGCj

  • 11 months ago
  • 11 months ago

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  1. AravindG
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    Yep just use that formula

    • 11 months ago
  2. Christos
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    Check at my question

    • 11 months ago
  3. AravindG
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    f(x+h)=? f(x)=?

    • 11 months ago
  4. AravindG
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    Can you write those?

    • 11 months ago
  5. julian25
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    ?????? it is right?????? the derivative is 4x

    • 11 months ago
  6. Christos
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    f(x)= 2x^2 f(x=h)= 2(x+h)^2

    • 11 months ago
  7. AravindG
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    *f(x+h)

    • 11 months ago
  8. AravindG
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    f(x+h)= 2x^2 f(x=h)= 2(x+h)^2

    • 11 months ago
  9. Christos
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    But my approach (the one with the red letters) gives 0. And I didn't do any mistake

    • 11 months ago
  10. Christos
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    thats what I said @AravindG

    • 11 months ago
  11. Christos
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    ah yea +**

    • 11 months ago
  12. AravindG
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    What is your problem ? You are getting correct answer 4x ?

    • 11 months ago
  13. Christos
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    No, look. The black letters is the solution manual. On the other hand the RED letters are my approach. The solution gives 4x. My solution gives 0. Both solutions doesn't have any mathematical mistake. ( and it's driving me crazy)

    • 11 months ago
  14. AravindG
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    Why 0 ? You are told x=0 ?

    • 11 months ago
  15. Christos
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    lim (h--->0)

    • 11 months ago
  16. AravindG
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    that will be 0+4x .I dont see 0 anywhere

    • 11 months ago
  17. AravindG
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    0+4x=4x

    • 11 months ago
  18. Christos
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    Do you see this http://screencast.com/t/YqaRwsAr5b

    • 11 months ago
  19. Christos
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    @AravindG

    • 11 months ago
  20. AravindG
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    so option 1 will be correct

    • 11 months ago
  21. Christos
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    buth both options doesn't have any mathematical mistakes. Agree?

    • 11 months ago
  22. AravindG
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    tell me which options you are speaking of

    • 11 months ago
  23. Christos
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    the red

    • 11 months ago
  24. AravindG
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    I see 4 options

    • 11 months ago
  25. AravindG
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    Which do you mean by saying both ?

    • 11 months ago
  26. Christos
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    Wait. Let me write the whole thing here on Open Study , 1 sec

    • 11 months ago
  27. AravindG
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    k

    • 11 months ago
  28. Christos
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    Forget it I got my mistake, jeez and phew

    • 11 months ago
  29. AravindG
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    lol Great you figured it out yourself :)

    • 11 months ago
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