Can a plaintiff raise or argue a point in the trial court for the first time on appeal?

Is plaintiff's claim that the trial judge was biased against him on appeal cognizable because it is raised for the first time on appeal? (California, United States of America)

Can a defendant bring a notice of appeal to the Court of Appeal claiming that he failed to raise his constitutional claims in the trial court? (California, United States of America)

When an appeal is a pure issue of law, does the Court of Appeal give deference to the trial court's ruling? (California, United States of America)

Does the Court of Appeal have the power to rule on a question of law raised for the first time on appeal? (California, United States of America)

What is the effect of the Court of Appeal's decision to stay the trial court's writ of mandate and all proceedings below, pending an appeal? (California, United States of America)

What is the test for an appellant to argue that questions raised in the trial court will not be considered on appeal? (California, United States of America)

When a defendant makes a mid-trial motion to revoke his self represented status and have standby counsel appointed for the remainder of the trial, does the trial court have a duty to manage the trial? (California, United States of America)

In a motion for a new trial, is the trial court bound by the same principles as the court of appeal? (California, United States of America)

Can a party who fails to raise issues before the trial court raise new issues on appeal? (California, United States of America)

Can a defendant bring an appeal to the Court of Appeal against a finding that the trial court wrongfully convicted him of assault? (California, United States of America)