What variables must be kept constant
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A variable must be in place of a number, or representing a range of possible values. Otherwise, it is a constant and so yous imply replace it with the value of that constant.
The independent variable is the thing you are changing/varying. The dependent variable is the thing you are measuring. This variable should be affected by the independent variable. Control variables are anything that must be kept constant. If there are any other factors which affect the dependent variable, then these need to be controlled so that they do not have any significant effect (basically ensuring that you are actually measuring the effects of the independent variable).
The differentiation of a constant is zero because a constant value does not change with respect to the variable being differentiated. The derivative measures the rate of change of a function, and since a constant has no change, its derivative is zero.
Controlled variables are things that must be controlled and kept the same during the experiments in order to prevent them from having an impact on results.
A coefficient is a numerical or constant quantity placed before and multiplying the variable in an algebraic expression. A coefficient must be a number or a symbol for a constant number. This includes pi and e as coefficients.2x=6(pi)x=44(x+2)=19