The Definition of the Derivative - Concept

Concept Concept (1)

The definition of the derivative is the slope of a line that lies tangent to the curve at the specific point. The limit of the instantaneous rate of change of the function as the time between measurements decreases to zero is an alternate derivative definition. The derivative is a function, and derivatives of many kinds of functions can be found, including linear, power, polynomial, exponential, and logarithmic functions.

Sample Sample Problems (3)

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The Definition of the Derivative - Problem 1
Problem 1
How to compute the derivative of a function at a point x=a using the definition of the derivative.
The Definition of the Derivative - Problem 2
Problem 2
How to estimate the derivative of a function, natural log, at a point x=a.
The Definition of the Derivative - Problem 3
Problem 3
How to compute the derivative using the definition, and how to find an equation of the line tangent to its graph at a point.