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Chain Rule in Differentiation

  1. Dec 13, 2011 #1
    1. The problem statement, all variables and given/known data

    Differentiate the functions using chain rule. 2(x3 −1)(3x2 +1)4

    2. Relevant equations

    Chain Rule = f ' (g(x))g' (x)

    3. The attempt at a solution

    I don't know how to do using chain rule, but product rule is easier

    So using product rule,

    = f ' (x) g(x) + f (x)g' (x)
    = (2)(x3-1)0(3x2)(3x2+1)4 + 2(x3-1)(4)(3x2+1)3(6x)
    = (2)(3x2)(3x2+1)4 + 8(x3-1)(3x2+1)3(6x)

    Can anyone show me how to do it, using chain rule?
     
  2. jcsd
  3. Dec 13, 2011 #2

    SammyS

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    You did use the chain rule , along with the product rule.

    You used the chain rule to differentiate (x3 −1) and (3x2 +1)4 !
     
  4. Dec 13, 2011 #3
  5. Dec 13, 2011 #4

    SammyS

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