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Ch 1 Calculus (Definite Intergral (area under the curve (Trapezoidal rule,…
Ch 1 Calculus
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Rate of Change
Equation
If given an equation, plug it into the calculator and use the table (in ask mode) to find the y-values for the x-vaules that are .01 above and below the point that is being looked at
Graph
If only a graph is provided, draw a tangent line using the point that is given. Then find two points on the tanget line that are on exact points, then use these two points to find the aproximate rate of change
Table
Use given points to determine the aproximate rate of change by using one directly above and below the point that is being looked at
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Calculus
The study of Calcutation that change at variable rate; we use limits, derivatives, definite intergrals, and indefinite intragrals
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Instantaneous Rate
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the difference in x-values to be 0; thus we get closer to an instantaneous rate of change by making the difference in the x-values smaller
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Limit
for any positive number number e (no matter how small) there is a positive number f such that if x is within f units of c, but not equal to c, then f(x) is within e units of L