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.