Question

Use the table below to evaluate the d/dx[g(f(3x))] at x = 1.

x 1 2 3 4
f(x) 6 1 2 2
f ′(x) 6 1 10 2
g(x) 1 4 4 3
g ′(x) 4 5 7 –4

Answer 1

@ParthKohli @pooja195 @phi @ganeshie8 @Empty

Answer 2

my only problem is finding the derivative
okay so this is what i think it is
g(f(3x))' * f(3x)'

im just not sure if to get f(3x) you need the chain rule or not

Answer 3

LOL

Answer 4

okay one second let me work it out :D

Answer 5

you need to figure out what is f(x) and g(x) first

Answer 6

im getting 150

Answer 7

I'll double check it with my calculation.

Answer 8

My bad with plugging in the numbers it looks like, I see where I messed up.

Answer 9

Using the chain rule does yield 150 as you say.

Answer 10

yay okay thank you very much :D!