Question

Write the composite function in the form
f(g(x)).
[Identify the inner function
u = g(x)
and the outer function
y = f(u).]
y = e^9sqrtx

I'm lost with this :/

Answer 1

e^x is f(x), and 9sqrtx is g(x)

Answer 2

I got that part.

Answer 3

just dont know what to do after :(

Answer 4

uhhhh...

Answer 5

multiply them?

Answer 6

no

Answer 7

set 9sqrtx=u i think

Answer 8

yes. y=f(u)=e^u
& u=g(x)=9sqrtx

Answer 9

is that it?

Answer 10

let me input it!

Answer 11

what is the question asking?

Answer 12

did you get the screen shot I took?

Answer 13

I got the first part.

Answer 14

ok, so take the derivative now using chain rule

Answer 15

do you know how to do it?

Answer 16

Yes, let me look at my notes. We just started doing that.

Answer 17

what grade are you in?

Answer 18

college. Cal 1

Answer 19

I'm a freshman in high school

Answer 20

how is calc? is it hard?

Answer 21

wow. That's weird. Yes it is a little difficult since my teacher has a thick accent and his teaching methods arent clear

Answer 22

:) anyways back to the question, you take the derivative of e^9sqrtx normally, then multiply by the derivative of 9sqrtx

Answer 23

so it would be e^9sqrtx(9sqrtx)?

Answer 24

almost

Answer 25

but it's not multiplied by normal 9sqrtx, it's multiplied by the derivative of 9sqrt

Answer 26

9sqrtx*

Answer 27

and the derivative of 9sqrtx is 1/2sqrtx

Answer 28

so e^9sqrtx(9(1/2sqrtx))?