Quick reiteration on composite functions

[Phenotype]

I get the concepts, but not the basics...for example, this question:

f(1)=6  g(1)=-1 f(-1)=8  g(6)=7
f'(1)=6 g'(1)=-2 f'(-1)=2 g'(6)=-1

find (f o g)' (1)

is that just f'(1) x g'(1)? the same as (fg)'(1)?

[dooodyo]

what's f'(1)=6 supposed to be?

The derivative? Or a new equation?

[kamil9876]

is that just f'(1) x g'(1)? the same as (fg)'(1)?

if by (fg)' you mean "derivative of (f times g)" then no (check the product rule).

For the actual question you should use the chain rule as that's what it does.Write out the chain rule explicitly:

(is that how you know it? or as the , if so let me know and I will take that approach instead).