12 Study Guide - Final Guide: Power Rule, Product Rule
Document Summary
Integration and differentiation are two fundamental concepts in calculus, a branch of mathematics concerned with rates of change and slopes of curves. Integration is a method for finding the integral, or the total accumulation, of a function over a certain interval. The integral can be represented graphically as the area under the curve of the function. There are various techniques for finding the integral, including using anti-derivatives, substitution, and integration by parts. Differentiation, on the other hand, is the process of finding the derivative, or the rate of change, of a function at a certain point. The derivative is represented graphically as the slope of the tangent line to the curve of the function at that point. There are various techniques for finding derivatives, including using the limit definition, the power rule, the product rule, and the chain rule.
