I heard that when we are proving Leibniz's formula for differentiating an integral, we use chain rule i.e.

dw/dx=(�Ýw/�Ýu)(du/dx) + =(�Ýw/�Ýv)(dv/dx) + (�Ýw/�Ýx)

where u is the upper limit and v is the lower limit of integration, and the w is integral of f(x,y) with respect to y.

how is this chain rule work?

i tried to c how it works, but i cannot get it.

1 answer

To figure it out graph a function from x = a to x = b
Then look for example at how the area under the function changes at x = b as b changes
It is the value of the function at b times the change of b
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