key term - With Respect To

Definition

"With respect to" signifies which variable we are considering when taking derivatives or integrals. It indicates which variable we are focusing on when analyzing how one quantity changes in relation to another.

Related terms

Partial Derivative: A partial derivative measures how one variable changes with respect to another while keeping all other variables constant.

Total Derivative: The total derivative of a multivariable function measures how the entire function changes with respect to changes in all its variables.

Chain Rule:

The chain rule is used when finding derivatives of composite functions. It helps us analyze how changes in one variable affect the overall rate of change of the composite function.