# MA 123 Ch 2

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1. Average rate of change
• ...of y with respect to x
• change in y/ change in x
• slope of secant line (rise over run)
2. average velocity
• rate of change of position with respect to time
• distance traveled / time elapsed
3. instantaneous rate of change
the result of computing the average rate of change over smaller and smaller intervals
4. derivative
• of f with respect to x, at x = x1 is the instantaneous rate of change of f with respect to x at x = x1
• lim h-->0 f(x1 + h) - f(x) / h
5. f '(x)
the derivative of f at x where x is at a general point
6. v(t)
• instantaneous velocity
• the derivative of s at t
7. tangent line
graph of a function f at a point P(x1, f(x1)) with a slope equal to f ' (x1)
8. equation of a tangent line
y = f(x1) + f ' (x1)(x - x1)
 Author: clydethedog ID: 23683 Card Set: MA 123 Ch 2 Updated: 2010-06-26 00:25:37 Tags: Calculus Folders: Description: UK MA 123 Show Answers: