Understanding Fixed Support in Statically Indeterminate Problems

[cambo86]

I've just started to learn about how to solve statically indeterminate problems and I just want to check my understanding. If I've got a fixed support at x=0 then does that mean
\frac{dv}{dx}=0, where x is distance along beam and v is deflection?

As in the picture here,

 

[cambo86]

Thanks all but I've got an answer to this. dv/dx = 0 is right.

 

[Chestermiller]

Only if the beam is cantilevered (built into the wall to prevent rotation). If that's what you mean by a fixed support, then yes. If the beam is supported at x = 0 by a support that allows it to swivel, then no. According to your picture, the beam looks cantilevered.