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?

Question

cwrw238 · Answer

you can use the product rule

d(x-1)^2                      d(x-3)
 -------   *    (x-3) +   -----    *     (x-1)^2
     dx                                dx

anonymous · Answer

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 · Answer

= 2(x - 1)(x - 3) + (x -  1)^2

cwrw238 · Answer

yes

anonymous · Answer

so it would be (x-1)^2(1)+(x-3)(2(x-1))?

cwrw238 · Answer

d(uv) / dx  = u (dv/dx ) +  v (du/dx)

where u and v are functions of x

anonymous · Answer

so... did I get it right?

cwrw238 · Answer

right

anonymous · Answer

yessssss thanks, I find these rules annoying yet helpful lol