(adsbygoogle = window.adsbygoogle || []).push({}); MATHEMATICA:differentiate the summation

I need help.im having problem to differentiate my equation respect to the m_i;How can i differentiate the equation.

Second question is;When i set Y=2;how can i put the parameter like m_1;m_2;S_1;S_2;

what i just do is input it manually by changing m_1=m1;m_2=m2;

its very difficult if Y become larger number

Thanx for da helpCode (Text):

Sum[(Subscript[\[Sigma], i] - Subscript[c, i])*(Subscript[q, i]/

Subscript[T, i]), {i, 1, Y}] -

Sum[((1 - \[Beta])/(2 - \[Beta]))*(Subscript[d, i]*

Subscript[q, i]) +

(1/2)*((Subscript[m, i] - 1)*Subscript[w, i]*Subscript[q, i]) +

(Subscript[A, i]/Subscript[m, i] + Subscript[S, i])/

Subscript[T, i], {i, 1, Y}]

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# Problem of summation-mathematica

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