This lesson is intended to provide a general overview of the concepts of differentiation and integration. Knowledge of these concepts is required for students enrolled in AP Calculus AB or BC, Calculus Honors, or College Calculus.
Differentiation is the process of computing (finding) derivatives. A derivative is also called the instantaneous rate of change. It is also called the slope of the tangent line to a curve at a given point. The derivative of an equation tells us the rate of change (derivative) at any point of a given equation. Therefore a derivative helps us to find the derivatives of any function at a point.
Integration is the process of computing (finding) anti-derivatives. Integration is the opposite (reverse) of differentiation. The process of integration helps us to find the area under a curve.
There are several rules often used to find derivatives. There are also rules for finding integrals.