Question

i need help with this chain rule question
[x^3 + (2x-1)^3]^3

how do i solve this?

Answer 1

power rule it first

3[x^3 + (2x-1)^3]^2

now take the derivative of x^3 + (2x - 1)^3 what is it?

Answer 2

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

Answer 3

good so combine all of the info

Answer 4

how though? thats where i get confused

Answer 5

\[\large 3[x^3 + (2x - 1)^3]^2 [3x^2 + 6(2x-1)^2]\]

Answer 6

notice how in the right side i just multiplied 3 and 2 to get 6

Answer 7

yes

Answer 8

so you're okay now?

Answer 9

okay so power rule it and then diffrentiate the inner bit and combine all togetther!
Thank you!

Answer 10

yep...you can simplify this by algebra actually ...

Answer 11

i mean simplify further..by factoring out 3

Answer 12

yess got it! thanks!

Answer 13

okay then ^_^