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Difference Quotient

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Videos, worksheets, games and activities to help PreCalculus students learn how to find the difference quotient of a function.

Computing Difference Quotients
To find the slope of the secant line between two points in a function, we use difference quotients. Difference quotients are used with limits in the definition of the derivative and are important to understand, but can be difficult to compute and simplify. We can simplify difference quotients into a formula for finding the slope of a secant line.

The Difference Quotient
This video gives the formula for the difference quotient (the subtraction fraction) and do a couple examples of finding it for different functions.
Examples:
a) Let f(x) = 2x - 5; find f(x+h) - f(x)
b) Let f(x) = 3x + 2; find the difference quotient:
(f(x+h) - f(x))/h
The Difference Quotient
This video gives the formula for the difference quotient and do another example of finding it for a quadratic function.
Example:
Let f(x) = 2x2 - x + 5;
find and simplify the difference quotient
(f(x+h) - f(x))/h
Difference Quotient
Example:
Evaluate the difference quotient for f(x) = 4x2



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