It is from the infinite series section of the book, but I must have missed class this day because I don't know how to solve it. I don't need it worked out, just a point in the right direction. The problem is to compute the 7th derivative of
I know he doesn't expect us to manually take the derivative 7 times, so what is the trick?
That is going to get pretty messy (this is what wolfram believes the 7th derivative is http://www.wolframalpha.com/input/?i...cos%282x%29%29 ) but anyways i believe you would use:
you would pull the out front of the summation and then plug in 2x for the x.
then you would just do n=0 to n=6 i believe to get the 7th derivative.
Hopefully someone can say if this is right or not cause i am not 100% positive....
And since your function is 1/cosx this may not work for it but its all i could think of doing from a SERIES
Yeah sorry i edited it so now it is cos. Hopefully someone smarter than me will see this post and be able to help you out a little more
is your function or is it
if it is i do think you can use this series i stated.
You would do n=o to n=7 to get 7th derivative so this is what i came up with.
for n=0 -----
keep doing this until n=7 then just reduce everything and i believe you would get your 7th derivative.
Someone please check this