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Chain rule Derivative help

  1. Nov 12, 2006 #1
    Given: [tex]h=f\circ g , g(2)=5, g\prime(2)=3[/tex], and [tex]f\prime(5)=-2[/tex]
    Determine [tex]h\prime(2)[/tex]
     
    Last edited: Nov 12, 2006
  2. jcsd
  3. Nov 12, 2006 #2

    radou

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    Use the fact that (f o g) ' (x) = f ' (g(x)) * g ' (x).
     
  4. Nov 12, 2006 #3
    i dont get it
     
  5. Nov 12, 2006 #4

    radou

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    It's right in front of you, think about it.
     
  6. Nov 12, 2006 #5
    The Chain rule states that given f(g(x)), the derivative f ' (g(x)) can be found by finding the derivative of f at g(x) multiplied by the derivative of g(x). Which is what radou pointed out.

    Do we know f ' (g(x))? Think about what g(x) equals in this case. Do we know g ' (x)? Think!!! The chain rule is very important!
     
    Last edited: Nov 12, 2006
  7. Nov 12, 2006 #6
    got it ty....
     
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