Question

Help please?
Question in reply. I don't understand the question well.

Answer 1

http://s12.postimage.org/cwim9sm6j/Problem.png

Answer 2

a is the inverse of f.
f^-1(x) <--switch the places of x to y and y to x.

f'(x) is the first derivative.
f'(c) is the first derivative using the value of c.

Answer 3

oh haha. (f^-1)' (c) ... i guess this is the inverse then the first derivative of f(x). tricky.

Answer 4

xD

Answer 5

so...i guess...you have to get the inverse first and THEN derivative.

Answer 6

because the first question asks for a first.

Answer 7

Hmm I'm trying to do the first one, I'm kind of stuck on finding the inverse.
Y = 4x + 6x^(7)
X = 4y + 6y^(7)
What do you do next? I know you can take out a 2y from the right side, but then what?

Answer 8

excellent question. haha. you could do that but that would leave you with a y on the other side.

my guess would be to ^7 the 4y. besides that i dunno sorry.

Answer 9

Let me check what theorem '6.5' is lol.

Answer 10

It's saying to do what we just did...
Set equation equal to y.
Solve for X.
Interechange X and y.

Answer 11

yes thats what you did and you got stuck with X = 4y + 6y^(7)
now you have to isolate y.

if you did isolate y in that state, you would get a y in the other side of the equation.
i guess that would be fine because you would derive it.
if you derive it you would get y'.

then you can probably isolate y'
so...
y' = (fraction) + c

....maybe?

Answer 12

Hmm I just found this. It might help.
The formula is:
1/f'(f^(-1(c))

Answer 13

1/f'(f^(-1)(c))

Answer 14

that, sorry.

Answer 15

so...a function within a function. how would you use that? i havent seen that before.

Answer 16

Hmm I got the first answer, kind of.
You can do it by inspection.
What do you plugin that gives you 10?
4(1) + 6(1)^(7) = 10 :D

Answer 17

I made a mistake.
They want -10.

Answer 18

It's -1.

Answer 19

sorry i cant help.

Answer 20

It's a weird problem, really.

Answer 21

haha it is. who would think about getting the inverse and then the derivative of a function? maybe for higher college, it could happen.

Answer 22

I got the 4 answers, finally xD.

Answer 23

4x + 6x^(7), they want c = -10.
So 4(-1) + 6(-1)^(7) = -10.
a = -1.
So then, take the derivative of 4x + 6x^(7).
4 + 42x^(6), plug -1 in.
You get 46. Using that formula, 46 goes on the bottom. Answer for second question is 1/46.

Answer 24

Same thing for the other one,
they want 14. Plug 9 in, you get 14.
A = 9.
Take the derivative of the equation, u get 2x -13, plug 9 in, you get 5. Using the formula, you get 1/5.

Answer 25

haha. nice. then you got it.

Answer 26

The question wasn't explained well lol. Thanks :D

Answer 27

haha. i didnt really do anything. you did it. Good job.