SparkNotes: Introduction to Derivatives: Problems for "The Concept of the Derivative"

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Problems for "The Concept of the Derivative"

Problem 1.1: f (x) = 2x. Find f'(x)
[Solution]

Problem 1.2: f (x) = - x². What is the f'(x)?
[Solution]

Problem 1.3: Find the slope of the line perpendicular to the tangent of the graph of f (x) = - x² at x = 1.
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Problem 1.4: Find f'(1) for f (x) = - x² without solving for f'(x) first.
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Problem 1.5: Give an example of a function that is not differentiable at x = a.
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