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Question Number 2111 by 123456 last updated on 03/Nov/15

lets f : R^{2} \to R

does

\frac{\partial f}{\partial x} = \frac{\partial}{\partial x} \underset{0}{\int^{x}} \frac{\partial f}{\partial y} d y ?

Answered by prakash jain last updated on 03/Nov/15

f = x^{2} y

LHS = 2 x y

RHS = 2 x

LHS \neq RHS

LHS will be dependent on y .

RHS will NOT be dependent on y .