Question

Multiple Choice:
An equation for a tangent to the graph of y=archsin (x/2) at the origin is
(a) x-2y=0
(b) x-y=0
(c) x=0
(d) y=0
(e) pix-2y=0

Answer 1

just arcsin* btw.. hehe

Answer 2

find the derivative then substitute 0,0

Answer 3

derivative of arcsin is 1/(sqrt 1-x^2) btw..

Answer 4

y = sinh^-1

y' = e^-x - e^...../2........ something..... I know the other ones :)

Answer 5

oh...that "h" threw me.

y' = 1/sqrt(1-x^2)

Answer 6

lol !

Answer 7

thats why i corrected him at top :P

Answer 8

the equation to the tangent has the derivative as the slope....

0 = f'(x)x + b

Answer 9

yeah ;)

Answer 10

"y=archsin (x/2) at the origin" ack!!..... it helps to read the whole thing, I get lazy and start making up my own question lol

Answer 11

at 0,0 you get a slope of 1, so the equation of the tangent is:

y = x and thats my final offer

Answer 12

lmao! i hope u put 0,0 in the derivative!

Answer 13

:) I think I miss placed a Dx tho.... since its got that x/2 in there ;)

Answer 14

\[1/ (\sqrt{2-x} \sqrt{x+2}\]

Answer 15

\[y' = \frac{Dx}{\sqrt{1-\frac{x}{2}^2}} \rightarrow Dx = \frac{1}{2}\]

Answer 16

thats the derivative....forgot to close bracket lol

Answer 17

I DID IT DIFF! :P

Answer 18

I wanna change my vote :)

y = x/2 ;) but I probably missed that one too

Answer 19

lol! ha this is bad... i dont like this question!

Answer 20

ack!! how can a fraction = 0 if its got a constant up top....

Answer 21

yo this is messed...

Answer 22

cuz the derivative of that equation will be the equation of the tangent slope...it cant be ny of those options :S...

Answer 23

take this question, throw it in a sack, burn it in the fireplace, kill a chicken and spread its blood around the place to ward off any evil spirits that might rise from the ashes... ;)

Answer 24

come to think of it, when does sin^-1 have a hump in it?

Answer 25

lmao!!!

Answer 26

I thank you guys for all of the help! I can't exactly figure it out myself. Tricky tricky. tisk tisk. :)