Concept Quiz: Finding Derivative of Function Using Definition of Derivative In this assignment, you will be asked to find the derivative of a function by using the definition of a derivative (1.e evaluating the limit of the difference quotient) by using both the difference quotient. After you have performed these tasks, you will be asked to find the derivative of some function f(x), but you will be given the choice as to what form of the difference quotient to use. Lastly, you will be asked to give feedback on what form of the difference quotient did you use when finding your derivative and why you made that choice. Cx)-r(a) and forms of the X-a 1. Consider the function f(x) = 3x² – 4x + 1. Find the derivative, f (x), for this function using the definition of a derivative of the forming form: lim ath-/). (Note: In order to receive full credit, all mather Please see the lecture notes for Sections 3.1, 3.2, and 3.4 for examples of what this should look like). cal and limit notation must be used and applied correctly. = 1

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Q: F(x)= G(x)= (Fog)(x)= (Gof)(x)=

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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.