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| What is instantaneous rate? |
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Definition
| The instantaneous rate is how fast a rate of a function is changing at a particular point in time. |
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Definition
The derivative of function f(x) at x=c is the instantaneous rate of change of f(x) with respect to x at x=c. |
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| Verbal Definition of Limit |
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Definition
| L is the limit of f(x) as x approaches c iff L is the one number you can keep f(x) arbitrarily close to just by keeping x close enough to c , but not equal to c. |
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| Meaning of Definite Integral |
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Definition
| The definite integral of the function f from x=a to x=b gives a way to find the product of (b-a) and f(x), even if f(x) is not a constant. |
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Definition
Tn=Δx(½ f(a)+f(x1)+f(x2)+...f(xn-1)+½ f(b)) Δx=b-a/n b=ending point of interval a=starting point of interval n=number of sub-intervals within interval |
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Definition
| As n approaches infinity, Tn will approach the exact definite integral. |
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