How to Simplify the Derivative of \( (1+4x)^5(3+x-x^2)^8 \)?

  • Thread starter Thread starter realism877
  • Start date Start date
  • Tags Tags
    Derivatives
realism877
Messages
80
Reaction score
0

Homework Statement



(1+4x)^5(3+x-x^2)^8

Homework Equations





The Attempt at a Solution



I get to this point, but I don't know how to break it down.

5(1+4x)^4(4x)(3+x-x^2)^8+8(3+x-x^2)(1-2x)
 
Physics news on Phys.org
The multiplication and the chain rules must be both applied. Your computations either forgot one of the 2, or used them wrongly.

Please, check again.

And BTW, you can use LaTeX to write down your formulas in an elegant and comprehensible fashion. Just type the standard code between the \, \mbox{and} \, tags.
 
Last edited:
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...

Similar threads

Back
Top