Question

Use the table below to evaluate d/dx [f[g(2x)]] at x = 1

x 1 2 3 4
f(x) 6 1 8 2
f '(x) 6 1 8 2
g(x) 1 4 4 3
g '(x) 9 5 5 -4

I don't know how to continue with this question. i know [g(2x)]=8...pretty sure

Answer 1

How do you get g(2x)=8 at x=1?
g(2) = 4

Anyway, take a peek here and I think it will become clear. Just be sure to include that final 2 for the g(2x) instead of g(x).

http://www.calculus-help.com/6-table-derivatives/

scroll down to the end.