Hi everyone as per title, Im doinf a new math course and struggle with some ideas and concepts. Im very grateful for a site like this, it seems very knowledgable!
Hi. There are many willing and able to help here.
State the problem exactly and completely.
If you have done some work, show it so we can see where you are stuck.
If you have an answer, but are unsure, show your answer PLUS your work so, IF you made a mistake, we can see where.
Otherwise, ask for a hint to get started.
DY/DX e^5x sec (x^3).
I have to differentiate this. I belive I have to use the product rule then the chain rule.
f'x = e^5x d/dx ((sec (x^3)) + (sec (x^3)) d/dx ((e^5x).
g(u) = sec (u) where u = f(x) = (x^3)
now g'(u) = sec x tan x and f'x = 3x^2
Composite rule = k'(x) = g'(f(x)) f' (x)
= g' (u) f'(x)
= sec x tan x . 3x^2
f'x = e^5x (sec x tan x 3x^2) + (sec (x^3)) 5e^5x
Thats it. I find this quite difficult.