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

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