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RGFT Task 1
Running head: RGFT TASK 3 CALCULUS I
RGFT Task 1 Calculus I – Continuity and Differentiation
Western Governors University
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View Full DocumentRGFT Task 1
Differential calculus is the mathematics centered on problems involving change. Calculus
is the mathematics of change. Countless problems in economics, business, engineering, physics,
and medicine, as well as other specialties, deal with the speed a function rises or falls. For
example, economics is in constant flux. Prices go up and prices go down, there is fluctuation in
supply and demand, and inflation is in a constant state of change.
Differentiation is the method
used to compute the rate all this change is happening. This rate of change is called the derivative.
The derivative is just a big calculus word for a previously studied concept – slope. Slope is just
algebra lingo for steepness. We all know what steepness is. Everything studied in differential
calculus relates to the manageable idea of steepness.
Rates and slopes have an understandable connection, and while unchanging slopes are
involved in linear functions, calculus is needed to determine a changing slope, such as a
parabola.
To figure out a slope, you need two points to plug into a formula. For a linear function,
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 Spring '11
 smith
 Calculus, Continuity, Differential Calculus

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