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anonymous

  • one year ago

Find the derivative of f(x) = 5x + 9 at x = 2.

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  1. butterflydreamer
    • one year ago
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    To differentiate f(x) = 5x + 9 , the 9 is a constant. When you differentiate a constant, you get 0. So |dw:1436539169374:dw|

  2. Melodious
    • one year ago
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    @nairz it is factor theorm right?

  3. anonymous
    • one year ago
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    5x Also, what does the dash you put after the "(5x)" mean?

  4. Melodious
    • one year ago
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    can we do like substituting x with 2?

  5. welshfella
    • one year ago
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    the dash mean the derivative of x use the rule for algebraic differentiation y = a x^n y' = an x^(n-1)

  6. welshfella
    • one year ago
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    * dash means the derivative of f(x)

  7. Melodious
    • one year ago
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    can i know whether i told is right?

  8. anonymous
    • one year ago
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    I don't knnow @Melodious

  9. Melodious
    • one year ago
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    pls which grade maths is this?

  10. anonymous
    • one year ago
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    High school

  11. welshfella
    • one year ago
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    - you substitute 2 after you have found the derivative

  12. Melodious
    • one year ago
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    ninth grade?

  13. anonymous
    • one year ago
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    @Melodious most likely 11-12 grade

  14. Melodious
    • one year ago
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    @welshfella that was what i was asking from the beginning

  15. butterflydreamer
    • one year ago
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    yeah @welshfella is correct :) the dash just means derivative of.

  16. Melodious
    • one year ago
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    @nairz i studied in ninth grade

  17. Melodious
    • one year ago
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    the same topic

  18. anonymous
    • one year ago
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    Ok. Well I don't know how to find n

  19. Melodious
    • one year ago
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    n?

  20. butterflydreamer
    • one year ago
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    if we differentiate 5x, we don't get 5x :) |dw:1436539684365:dw|

  21. anonymous
    • one year ago
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    n is 1 or -1?

  22. butterflydreamer
    • one year ago
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    positive

  23. anonymous
    • one year ago
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    ok.

  24. anonymous
    • one year ago
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    So 5x^0

  25. anonymous
    • one year ago
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    or 1

  26. welshfella
    • one year ago
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    x^0 = 1

  27. butterflydreamer
    • one year ago
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    5x^0 = 5 times x^0 = 5 times 1 = 5

  28. anonymous
    • one year ago
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    so 5

  29. welshfella
    • one year ago
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    so 5x^0 = ?

  30. anonymous
    • one year ago
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    but if we take it's first derivative then it becomes only 5,then where to put the value of x?

  31. butterflydreamer
    • one year ago
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    i have no idea..:/

  32. welshfella
    • one year ago
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    nowhere the values is 5

  33. anonymous
    • one year ago
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    then what is the meaning of value at x=2?

  34. welshfella
    • one year ago
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    f'(x) = 5 the graph will be a horizontal line so the values will be 5 whatever value x is

  35. anonymous
    • one year ago
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    so is it 5 or 10?

  36. welshfella
    • one year ago
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    |dw:1436539994984:dw|

  37. butterflydreamer
    • one year ago
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    it can't be 10... f ' (x) = 5 so it's just 5

  38. anonymous
    • one year ago
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    OK

  39. welshfella
    • one year ago
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    so f'(2) = 5

  40. welshfella
    • one year ago
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    sorry that should be f'(x) on the vertical axis:-

  41. welshfella
    • one year ago
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    |dw:1436540140306:dw|

  42. butterflydreamer
    • one year ago
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    yaaa :) So because it is a horizontal line , at ANY value of x, f'(x) = 5 ^-^

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