- #1
pellman
- 684
- 5
How does one work the following?
[tex]\frac{d}{dx}\int^x_y f(x,u)du[/tex]
I know that (given certain assumptions about the function f)
[tex]\frac{d}{dx}\int^x_y f(w,u)du=f(w,x)[/tex]
and
[tex]\frac{d}{dx}\int^c_y f(x,u)du=\int^c_y \frac{df}{dx}(x,u)du[/tex]
but how do we put them together?
[tex]\frac{d}{dx}\int^x_y f(x,u)du[/tex]
I know that (given certain assumptions about the function f)
[tex]\frac{d}{dx}\int^x_y f(w,u)du=f(w,x)[/tex]
and
[tex]\frac{d}{dx}\int^c_y f(x,u)du=\int^c_y \frac{df}{dx}(x,u)du[/tex]
but how do we put them together?