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Differential Calculus help ?

  1. Mar 5, 2012 #1
    1. The problem statement, all variables and given/known data

    Need help with all of question 8 , any help would be appreciated thanks :D

    [​IMG]


    2. Relevant equations



    3. The attempt at a solution
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Mar 5, 2012 #2
    so find the derivative of those functions, and plug in x= whatever point they asked about. that's the slope at that point. so for the first one, find f'(x), and then plug in 1.
     
  4. Mar 5, 2012 #3

    Ray Vickson

    User Avatar
    Science Advisor
    Homework Helper

    You DO know that the slope of the tangent line equals the derivative, don't you? Well, in 8(i) you have y = (3x^2 - x - 3)^3. What is preventing you from taking the derivative?

    The other are all similar: either use derivative formulas you have covered in class, or look in the book for related material that you may not have covered explicitly, or else consult tables of derivatives, etc. Basically, you just need to start.

    RGV
     
  5. Mar 5, 2012 #4
    Do you know how to chain rule?
     
  6. Mar 5, 2012 #5
    Find the derivative (which is the slope), then use point slope form:
    y-y1=m(x-x1)
     
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