Derivative (examples)
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2 Example 2 3 Example 3 4 Example 4 |
Example 1
Consider f(x) = 5:
The derivative of a constant is zero.
Example 2
Consider the graph of . Should the reader have an understanding of algebra and the Cartesian coordinate system, the reader should be able to independently determine that this line has a slope of 2 at every point. Using the above quotient (along with an understanding of the limit, secant, and tangent) one can determine the slope at (4,5):
