anonymous
  • anonymous
what is the derivative of (x-1)^2(x-3)? I keep expanding it all out to get x^3-5x^2+6x-3 and then finding the derivative of that but I am wrong. So what is it?
Mathematics
katieb
  • katieb
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cwrw238
  • cwrw238
you can use the product rule d(x-1)^2 d(x-3) ------- * (x-3) + ----- * (x-1)^2 dx dx
anonymous
  • anonymous
uhh... so we would find the derivative of (x-3) and multiply it too (x-1)^2 then take the derivative of (x-1)^2 and multiply it by (x-3?
cwrw238
  • cwrw238
= 2(x - 1)(x - 3) + (x - 1)^2

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cwrw238
  • cwrw238
yes
anonymous
  • anonymous
so it would be (x-1)^2(1)+(x-3)(2(x-1))?
cwrw238
  • cwrw238
d(uv) / dx = u (dv/dx ) + v (du/dx) where u and v are functions of x
anonymous
  • anonymous
so... did I get it right?
cwrw238
  • cwrw238
right
anonymous
  • anonymous
yessssss thanks, I find these rules annoying yet helpful lol

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