Hako A.

# Taking partial derivative of i'th and j'th element of variable?

How do I take partial derivative of something like this:

$$\sum_{i=1}^n\sum_{j=1}^nb_i(b_ja_{ij})$$

Both $b_i$ and $b_j$ is part of the same variable $b$, so should I take partial derivative with respect to both at the same time like this:

$$\frac{\partial}{\partial b_ib_j} = a_{ij}$$

I'm really stuck on this problem, any hint would be much appreciated

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