Er... verify something for me guys; Is the derivative ofequal toCode:`sin(cos(x))`

:confused:Code:`-cos(cos(x))sin(x)`

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- 09-30-2002BMJMath question
Er... verify something for me guys; Is the derivative of

Code:`sin(cos(x))`

Code:`-cos(cos(x))sin(x)`

- 09-30-2002Govtcheez
That's not what I got - I got

sin(-sin(x)) * cos(cos(x))

I could be wrong, though. - 09-30-2002BMJ
Where did that extra sine come from?

- 09-30-2002Govtcheez
Chain rule.

- 09-30-2002BMJCode:
`f(x) = sin(cos(x))`

Code:`f'(x) = cos(cos(x)) * (-sin(x)) * (1)`

- 09-30-2002Govtcheez
Um... Maybe. Like I said, I could be (and likely am) wrong...

Heh, 3 years of calc, and I can't remember a damn thing. Thank you, beer! - 09-30-2002Govtcheez
The answer I got from people that are better at this than me was -sin(x) * cos(cos(x)), so the same thing that you got.

Guess it's time to dig out that calc book again. - 09-30-2002BMJ
I just want to make sure I am remembering this stuff right so that I don't mess my entire week up as I go back trying to figure out what's wrong only to find it's this stuff :rolleyes:

- 09-30-2002BMJ
Ok thanks Govtcheez! :)

- 09-30-2002ober
working on... finding... Maple...

ok... I can't locate a free download of it anymore, but it's useful for checking your derivatives/integrals... sorry... you could look around for a copy of it tho. - 09-30-2002BMJ
I've never heard of it... does it work well?

- 09-30-2002Govtcheez
ONce you figure it out, it's helpful. I never got the hang of it, though.

- 09-30-2002BMJ
Hmmm... maybe I should write something to calculate derivative expressions like a TI-89 or Maple does :)

- 09-30-2002ober
yeah, there's definately a learning curve, but when you can type in an equation and it spits out what you want.... you just can't beat it.

- 09-30-2002dbaryl
um... what about my TI-92?