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# Partial Derivatives watch

1. I was just wondering whether anyone could help me with this question- I need to differentiate

y(t) = p - (a / a2 + c)*(m0 +by(t) + v(t)) + (a/a2+c)(a1) +u(t)

wrt a1 and a2. (a is a constant). I haven't done partial differentiation for a few years! Any help would be greatly appreciated. (t is supposed to be subscript, it's not a value) I assume I need to use the product rule somewhere...

Thanks!
2. (Original post by Solid_Snake_100)
I was just wondering whether anyone could help me with this question- I need to differentiate

y(t) = p - (a / a2 + c)*(m0 +by(t) + v(t)) + (a/a2+c)(a1) +u(t)

wrt a1 and a2. (a is a constant). I haven't done partial differentiation for a few years! Any help would be greatly appreciated. (t is supposed to be subscript, it's not a value) I assume I need to use the product rule somewhere...

Thanks!
Differentiate wrt while treating as a constant, and then do it the other way around. Note that this also involves implicit differentiation.

Can you remember the appropriate rules of differentiation?
3. (Original post by Indeterminate)
Differentiate wrt while treating as a constant, and then do it the other way around. Note that this also involves implicit differentiation.

Can you remember the appropriate rules of differentiation?
Ok sorry, I've rearranged it so that all of Yt is on one side, so I get

y(t) = (a2+c/a2+ab+c)*(p+u(t)) + (a/a2+ab+c)*(a1-m0-v(t))

But if I take partial derivatives, dy/da1 = a1 which makes no sense... (and god knows how complicated a2 will be!)

EDIT: ok sorry that was stupid, for a1 i have (a/a2+ab+c)

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