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Differentiating trig functions

Can someone help me with this:
ddxsin(cos(tan(sin(cos(tanx))))) \frac{d}{dx} sin(cos(tan(sin(cos(tanx)))))
Original post by kkboyk
Can someone help me with this:
ddxsin(cos(tan(sin(cos(tanx))))) \frac{d}{dx} sin(cos(tan(sin(cos(tanx)))))


What rule can you use to differentiate a composition of two functions?
Reply 2
Original post by morgan8002
What rule can you use to differentiate a composition of two functions?


Chain rule 5x

But do we have to put the original function back into tge differentiated function?
Original post by kkboyk
Chain rule 5x

But do we have to put the original function back into tge differentiated function?


Yeah, it's equal to f'(x)cos[f(x)], where f(x) = cos(tan(sin(cos(tanx))).
Have fun.
Reply 4
Original post by morgan8002
Yeah, it's equal to f'(x)cos[f(x)], where f(x) = cos(tan(sin(cos(tanx))).
Have fun.


The next question now has (2x+1)2 (2x+1)^2 on the last time :frown:

My Maths teacher sure does know how to screw me...
Original post by kkboyk
The next question now has (2x+1)2 (2x+1)^2 on the last time :frown:

My Maths teacher sure does know how to screw me...


You can't have finished already. I estimate it'll take a few hours to do the previous question. More than 5 min anyway.
Reply 6
Original post by morgan8002
You can't have finished already. I estimate it'll take a few hours to do the previous question. More than 5 min anyway.


It took my friends 10mins. I haven't started yet, so right now just preparing and doing Biology before starting :tongue:

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