# Definition of the Derivative

Not what you're looking for?

The derivative of a continuous function at x is the slope of the tangent line to the curve at x. The attached pdf file develops the idea of a derivative first using slopes of secant lines and then introducing and explaining the difference quotient in detail. An example and an explanation are provided for using the limit of the difference quotient to find the derivative of the function f(x) = x^2 + 4x.

Thank you for using Brain Mass!

##### Purchase this Solution

##### Solution Summary

The attached pdf document provides a detailed explanation of the definition of the derivative. Commonly used notation is introduced. An example is given illustrating how to apply the definition of the derivative to finding the derivative of a function.

##### Purchase this Solution

##### Free BrainMass Quizzes

##### Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.

##### Probability Quiz

Some questions on probability

##### Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

##### Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

##### Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.