MA 123 Ch 2

Average rate of change
- ...of y with respect to x
- change in y/ change in x
- slope of secant line (rise over run)
average velocity
- rate of change of position with respect to time
- distance traveled / time elapsed
instantaneous rate of change

the result of computing the average rate of change over smaller and smaller intervals
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
f '(x)

the derivative of f at x where x is at a general point
v(t)
- instantaneous velocity
- the derivative of s at t
tangent line

graph of a function f at a point P(x₁, f(x₁)) with a slope equal to f ' (x₁)
equation of a tangent line

y = f(x₁) + f ' (x₁)(x - x₁)

Author

clydethedog

23683

Card Set

MA 123 Ch 2

Description

UK MA 123

Updated

2010-06-26T00:25:37Z

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