Derivative (examples)
Example 1
Consider f(x) = 5:
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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):
The derivative and slope are equivalent.
Example 3
Via differentiation, one can find the slope of a curve. Consider  :
For any point x, the slope of the function is  .
Example 4
Consider f(x) = √x:
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Referenced By
Derivative | Derivative (calculus) | Differentation | Differentiable function | List of mathematical topics (D-F) | List of mathematical topics (F-Z)
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