Leibniz rule application

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I want to compute the partial $\frac{\partial y(x)}{\partial x}$ using the following equality:

x=$\int^{y(x)}_0 a f(a,x) da$

How can I apply the Leibniz rule here?

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Leibniz Rule give $1=y(x)f(y(x),x) y'(x)+\int_0^{y(x)} af_x(a,x)da$. Just solve for $y'(x)$ from this equation.