- #1
Vendoskt
- 5
- 0
I labeled this topic as a "Simple Differentiation Problem" because I know that it is simple, I'm just having problems with it.
The question is to differentiate ((x^2 + 2)^3)(x - 3)
The answer the book I'm using gives is ((x^2 + 2)^2)(7x^2 - 18x + 2)
Would this be differentiated by using a combination of product rule and chain rule? If that is the case then...
y' = ((x^2 + 2)^3) + (x - 3)(3(x^2 + 2)^2)(2x)
simplified a little
y' = ((x^2 + 2)^3) + 6x(x - 3)((x^2 + 2)^2) or
y' = ((x^2 + 2)^3) + (6x^2 - 18x)((x^2 + 2)^2)
this is where I am getting stuck. Either I am seriously lacking in my algebra skills, or I just used the wrong method to solve the problem.
Please help
Thank you
The question is to differentiate ((x^2 + 2)^3)(x - 3)
The answer the book I'm using gives is ((x^2 + 2)^2)(7x^2 - 18x + 2)
Would this be differentiated by using a combination of product rule and chain rule? If that is the case then...
y' = ((x^2 + 2)^3) + (x - 3)(3(x^2 + 2)^2)(2x)
simplified a little
y' = ((x^2 + 2)^3) + 6x(x - 3)((x^2 + 2)^2) or
y' = ((x^2 + 2)^3) + (6x^2 - 18x)((x^2 + 2)^2)
this is where I am getting stuck. Either I am seriously lacking in my algebra skills, or I just used the wrong method to solve the problem.
Please help
Thank you