Tuesday, November 28, 2006

If you are in Calculus, use the following method to find the exact value of the limit of f(x) as h approaches 0.

1. The form is as follows. The numerator is f(x+h) - f(x). Divide the numerator by h.
2. FOIL.
3. Combine terms.
4. Factor out h.
5. Simplify.

Here is an example which illustrates how to find the derivative.
Original Expression: x^3 - 4x + 1.
Derivative: 3x^2 - 4.

Reminder: f(x+h) = x^2 + 2xh + h^2.

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