Question

CAlculus Help!
find the derivative of the function.
g(x)=3arccos(x/2)

Answer 1

are u familiar with the derivative of \[\cos^{-1}\]

Answer 2

yes

Answer 3

\[g(x)=3cos^{-1}(\frac{x}{2})\]
\[cos(\frac{g(x)}{3})=cos(cos^{-1}(\frac{x}{2})=\frac{x}{2}\]
if you take the derivative of that, you can find your answer much easier using chain rule without having to memorize arccos derviatives.

Answer 4

\[g'(x) = 3[-\frac{1/2}{\sqrt{1-(\frac{1}{2})^{2}}}]\]
that took a while, but this is how i'm learning to do these derivatives

Answer 5

but i HAVE to memorize the arccos derivatives!

Answer 6

umm okay can u exaplin step by step? pleas?

Answer 7

2le or me?

Answer 8

i mean explain?

Answer 9

well you take the derivative and plug in the the values to the formula.

Answer 10

why did u take out the 3?

Answer 11

the (3) is the constant multiple rule

Answer 12

its a constant being multiplied so its carried out

Answer 13

o okay. :]

Answer 14

wait and the 1/2? y is it on top?

Answer 15

so why is the 1/2 on top again?