Chain rule Product rule Derivative

[cj123]

Homework Statement

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

Homework Equations

The Attempt at a Solution

 

[rock.freak667]

The Attempt at a Solution

You might need to try this first





Do you know how differentiate single terms,products or quotients?

 

[cj123]

No, I have no problems like this in my notes. We have no textbook to refer back to.

 

[rootX]

Hint:
Topics covered:
Chain rule
Product rule

 

[cj123]

thanks for assisting, but I have no idea where to start on this type of problem.

 

[rootX]

ok I will put it in simple form:

(2x^2 - 3x + 1)(4x^3 + 4x -3)^5
a = (2x^2 - 3x + 1) b = (4x^3 + 4x -3)^5
so a*b

using product rule

a*db/dx + da/dx*b

and now
as b = (4x^3 + 4x -3)^5
make this b = (u)^5
so . db/dx = 5u^4.du/dx ...