Posted by Robin on Tuesday, June 18, 2013 at 2:41pm.
Find the outside and inside functions of the following to find their derivatives:
1) sqrt(2x+9)
2) cos(cos(x))
3) tan(x)
I already know how to find their derivatives I'm just not exactly sure what parts of the chain rule equation would be considered the outside and inside.

Calculus  Steve, Tuesday, June 18, 2013 at 3:32pm
The chain rule says that if we have u(x) and f(u(x)),
df/dx = df/du * du/dx
f is the outside function, u is the inside.
So, in the first case
f(u) = √u
u(x) = 2x+9
#2.
f(u) = cos(u)
u(x) = cos(x)
#3. Is almost a trick question.
f(u) = tan(u)
u(x) = x