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-   -   Differentiate: f(t)= ln(t^2√(2-t)) (https://www.askmehelpdesk.com/showthread.php?t=746789)

  • May 1, 2013, 05:43 AM
    Dodo333
    Differentiate: f(t)= ln(t^2√(2-t))
    Please differentiate: f(t)= ln(t^2√(2-t)) using dt/dx
  • May 1, 2013, 05:57 AM
    ebaines
    Quote:

    Originally Posted by dodo333
    Please differentiate: f(t)= ln(t^2√(2-t)) using dt/dx

    I'm guessing that you are alluding to the chain rule:



    Here let , so that . Now apply the chain rule - what do you get?
  • May 1, 2013, 06:02 AM
    Dodo333
    Quote:

    Originally Posted by ebaines View Post
    I'm guessing that you are alluding to the chain rule:



    Here let , so that . Now apply the chain rule - what do you get?

    Hello, thanks for your answer, but I really do not know how do this, I just know that the answer must be obtained using dt/dx. Please let me know the solution with the steps, I would really appreciate that.
  • May 1, 2013, 06:32 AM
    ebaines
    I won't give you the answer, but I'll show you how to do a similar problem. Let me know if there are any steps here that you don't understand:

    Differentiate:

    1. Let .

    2. , hence

    3.

    4.

    You can apply this same technique to your problem. Post back with what you get for an answer.

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