Physics: can i differentiate expression with preserving summation symbol

Question:Physics: can i differentiate expression with preserving summation symbol

Posted: Micky 20 Product: Maple 16

March 21 2013

Hi there,

I have

x[i]=sum(sin(theta[j](t)), j = 1 .. i-1)

$x[i]=sum(sin(theta[j](t)), j = 1 .. i-1)$

assuming i is integer and i>=1 can Maple help me to differentiate with respect to time t ( for example diff(x[i],t) ) so

v[i]=sum((diff(theta[j](t), t))*cos(theta[j]), j = 1 .. i-1)

$v[i]=sum(diff(theta[j](t), t)*cos(theta[j]), j = 1 .. i-1)$

such as

F := sin(x(t)); diff(F,t); Maple answers: cos(x(t))*(diff(x(t), t)) or $cos(x(t))*(diff(x(t), t))$

Now i`ve got strange big result with theta[_O], what is _O $theta[_O]$ ? May be i shoud not use indexes at all

Thanks

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