en.wikipedia.org/wiki/Derivative

The most common approach to turn this intuitive idea into a precise **definition** is to
**define** the **derivative** as a limit of difference quotients of real numbers. This is the
approach described below. Let f be a real valued function defined in an open
neighborhood of a real number a. In classical ...

tutorial.math.lamar.edu/Classes/CalcI/DefnOfDerivative.aspx

In the first section of the last chapter we saw that the computation of the slope of a tangent line, the instantaneous rate of change of a function, and the instantaneous velocity of an object at all required us to compute the following limit. We also saw that with a small change of notation this limit could also be written as,. (1) ...

tutorial.math.lamar.edu/Problems/CalcI/DefnOfDerivative.aspx

The **Definition** of the **Derivative**. Use the **definition** of the **derivative** to find the
**derivative** of the following functions. 1. [Solution]. 2. [Solution]. 3. [Solution]. 4. [
Solution]. 5. [Solution]. 6. [Solution]. 7. [Solution]. 8. [Solution]. 9. [Solution]. 10. [
Solution]. 11. [Solution]. Problem Pane. Decrease Problem Pane. Increase
Problem Pane.

www.khanacademy.org/math/ap-calculus-ab/ab-derivative-intro/ab-defining-derivative/v/alternate-form-of-the-derivative

Just a philosophical digression. If mathematicians until today don't know how to
**define** a process like division by zero, isn't it impossible to assume that if a
division by zero has any kind of **definition**, humanity can never surely estimate. It
seems kind of strange that the financial sector, higher analysis and modelling
relies on ...

www.khanacademy.org/math/ap-calculus-ab/ab-derivative-intro/ab-defining-derivative/v/calculus-derivatives-1-new-hd-version

The **derivative** of function f at x=c is the limit of the slope of the secant line from x=
c to x=c+h as h approaches 0. Symbolically, this is the limit of [f(c)-f(c+h)]/h as h→
0.

archives.math.utk.edu/visual.calculus/2/definition.12

Objectives: Now that we have defined the **derivative** of a function at a point, in this
tutorial, we **define** a function which is the **derivative** at all points of an interval. We
use the **definition** of a **derivative** to find the **derivative** of some functions. We also
**define** the concepts of right-hand and left-hand **derivatives** and apply these ...

archives.math.utk.edu/visual.calculus/2/definition.7/index.html

Problem: Using the **definition of derivative**, find the derivatives of the following
functions. This page was constructed with the help of Suzanne Cada. ©1995-
2001 Lawrence S. Husch and. University of Tennessee, Knoxville, Mathematics
Department. All rights reserved.

www.sosmath.com/calculus/diff/der00/der00.html

The **Derivative**. The concept of **Derivative** is at the core of Calculus and modern
mathematics. The **definition** of the **derivative** can be approached in two different
ways. One is geometrical (as a slope of a curve) and the other one is physical (as
a rate of change). Historically there was (and maybe still is) a fight between ...