the definition of the derivative

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Each week, you will be asked to respond to the prompt or prompts in the discussion forum. Your initial post should be 75-150 words in length, and is due on Sunday. By Tuesday, you should respond to two additional posts from your peers.

One of our main focuses for Calculus one will be on the concept of the derivative. In order to fully understand the derivative, we need to have a good grasp on its definition. In your own words, explain what is being described with the definition of the derivative.

f to the power of 1 left parenthesis x right parenthesis equals stack l i m with increment chi rightwards arrow 0 below space fraction numerator f left parenthesis x plus increment x right parenthesis minus f left parenthesis x right parenthesis over denominator increment x end fraction

Be detailed in your description. What does increment x represent and what is the role of the limit? Why do you think it’s important to understand this mathematical definition before moving forward?

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