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Christos

  • 2 years ago

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

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  1. AravindG
    • 2 years ago
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    Yep just use that formula

  2. Christos
    • 2 years ago
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    Check at my question

  3. AravindG
    • 2 years ago
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    f(x+h)=? f(x)=?

  4. AravindG
    • 2 years ago
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    Can you write those?

  5. julian25
    • 2 years ago
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    ?????? it is right?????? the derivative is 4x

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

  7. AravindG
    • 2 years ago
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    *f(x+h)

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

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

  10. Christos
    • 2 years ago
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    thats what I said @AravindG

  11. Christos
    • 2 years ago
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    ah yea +**

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

  13. Christos
    • 2 years ago
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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)

  14. AravindG
    • 2 years ago
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    Why 0 ? You are told x=0 ?

  15. Christos
    • 2 years ago
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    lim (h--->0)

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

  17. AravindG
    • 2 years ago
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    0+4x=4x

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

  19. Christos
    • 2 years ago
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    @AravindG

  20. AravindG
    • 2 years ago
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    so option 1 will be correct

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

  22. AravindG
    • 2 years ago
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    tell me which options you are speaking of

  23. Christos
    • 2 years ago
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    the red

  24. AravindG
    • 2 years ago
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    I see 4 options

  25. AravindG
    • 2 years ago
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    Which do you mean by saying both ?

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

  27. AravindG
    • 2 years ago
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    k

  28. Christos
    • 2 years ago
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    Forget it I got my mistake, jeez and phew

  29. AravindG
    • 2 years ago
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    lol Great you figured it out yourself :)

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