- #1
illjazz
- 59
- 0
Homework Statement
Find the derivative of the function
[tex]g(x)=(1+4x)^5(3+x-x^2)^8[/tex]
Homework Equations
- Chain rule
- Power rule
The Attempt at a Solution
[tex]g(x)=(1+4x)^5(3+x-x^2)^8[/tex]
[tex]g(x)=(1+4x)^5\frac{d}{dx}(3+x-x^2)^8+(3+x-x^2)^8\frac{d}{dx}(1+4x)^5[/tex]
[tex]g(x)=(1+4x)^58(2x-1)(3+x-x^2)^7+(3+x-x^2)^820(1+4x)^4[/tex]
...
This is where I'm stuck. Both my calculator and the book tell me that the solution is
[tex]4(4x+1)^4(x^2-x-3)^7(21x^2-9x-17)[/tex]
All I want to know is how they get to this result from the step I got stuck at above. I don't see how they arrive at that last polynomial :/
Last edited: