First derivative

  • Thread starter shanshan
  • Start date
  • #1
shanshan
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Homework Statement


differentiate f(x) = [2x^(2/3)][3-4x^(1/3)]


Homework Equations





The Attempt at a Solution


f'(x) = (4/3)(x^(-1/3))(3-4x^(1/3)) + (1/3)(-4)(x^(-2/3))
= 4x^(-1/3)-(16/3)-((4/3)(x^(-2/3)))
= (4/x^(1/3))-(16/3)-(4/3(x^(-2/3)))
I'm pretty sure I've made a mistake, but I can't find it.
 

Answers and Replies

  • #2
jgens
Gold Member
1,593
50
Remember, the product rule is defined as [itex]f' = g'h + gh'[/itex]. When you used the product rule, you forgot to multiply the second term by [itex]2x^{2/3}[/itex].
 

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