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Implicit differentiation

  1. May 2, 2009 #1
    "implicit differentiation"

    if [x][3] * f(x) + [(f(x))][3] + f([x][3]) = 3 and f(1)= 2 find f'(1)

    NEED HELP REVIEW QUESTION FROM EXAM REVIEW
    DONT KNOW WHAT TO DO
     
  2. jcsd
  3. May 2, 2009 #2
    Re: derivatives

    x^3 * f(x) + (f(x))^3 + f(x^3) = 3
    and f(1) = 2 find f'(1)

    formating error in original post
     
  4. May 3, 2009 #3

    HallsofIvy

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    Re: derivatives

    Use "implicit differentiation": (x^3 f(x)+ (f(x))^3+ f(x^3))'= 3x^2f(x)+ x^3 f'(x)+ 3f(x)^2 f'(x)+ f'(x^3)(3x^2)= 0. Set x= 1 and solve for f'(1).
     
  5. Jul 16, 2009 #4
    Re: derivatives

    i have a derivative problem that reads 4/ ^5sqrt(x^5). I am not sure how to work the problem out.
     
  6. Jul 16, 2009 #5

    HallsofIvy

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    Re: derivatives

    1. Please don't hijack other peoples threads for new questions- start your own thread.
    2. I have no idea what "4/ ^5" is supposed to mean.
    3. sqrt(x^5)= x5/4.
     
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