MAT 201 Study Guide - Quotient Rule, Power Rule, Product Rule
Document Summary
In this lecture, we"ll explore the concept of derivatives, which are used to calculate rates of change in functions. Derivatives are an essential tool in calculus, and by mastering them, you"ll be able to analyze how functions change over time and solve a wide range of problems. Definition of derivatives and how to calculate them. The relationship between derivatives and slopes of tangent lines. Derivative: the derivative of a function is the rate at which the function changes at a particular point. It is the slope of the tangent line to the function at that point. Slope of a tangent line: the slope of the tangent line to a function at a particular point is equal to the derivative of the function at that point. Power rule: the power rule states that the derivative of x^n is n*x^(n-1), where n is any real number.
