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Differential Calculus

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Respond to both prompts:
Prompt 1 – Differential Calculus. A classmate is confused with the idea of the derivative. How would you explain this concept so that they gain a better understanding without simply restating the formula? How is the concept of limits related to the concept of the derivative?
A successful paper will highlight the purpose of the derivative, how it is used, and how limits play into the definition of the derivative.
Prompt 2 – Integral Calculus. Another classmate claims that the integral is used primarily to find the area under the curve by using rectangles but is confused why their homework answers are either greater or less than the answers stated in the back of the textbook. Are they correct about this concept? How would you help them to better understand the concept of integrals and integration?
A successful paper will highlight the purpose of the integral, how it is used, and how limits play into the definition of the derivative.
Requirements:
Length – 1-2 pages
Font – 12 point, Times New Roman
Page margins – 1 inch all around
Consulting with outside resources in encouraged. Please include references to any outside material you use, including if you use the course textbook. Using outside resources without citing your source is plagiarism. References should be presented in APA formal (See OWL at Purdue for guidance (Links to an external site.)).

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