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2311lectureoutline2.1

# 2311lectureoutline2.1 - over the interval from x to a can...

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MAC2311, Calculus I 2.1 The Tangent and Velocity Problems Secant line Tangent line Average rate of change The average rate of change in the function f(x) over the interval from x = a to x = a + h, can be found using the difference quotient which is really just the “slope” formula. average rate of change = ( ) ( ) f a h f a h + - The average rate of change in the function f(x)
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Unformatted text preview: over the interval from x to a, can be found using the difference quotient, a verage rate of change = ( ) ( ) f x f a x a--. Again, this is just the “slope” formula: 2 1 2 1 y y changein y or changein x x x--. Instantaneous rate of change Average velocity Instantaneous velocity See exercises 2 and 6 on page 87 in the text....
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