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Quiz TUESDAY 3.1, 3.2 Find derivatives using original and alternate definition of the derivative Understanding the definition of derivative (examples 2 and 3) Relating the graph of a function and its derivative (example 1) Finding and identifying types of non- differentiability.

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Use your GC viewing window x: [-3,5] y: [-3, 5] at what x-value is the function not differentiable? which of the 4 cases occurs in a). f(-1) = f’(-1) = f(1) = f’(1) = where is f(x) > 0? where is f’(x) > 0? x = 1 corner 0 -2 DNE (-∞, -1), (3, ∞) (1, ∞)

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Find the following values: f(4) = f’(4) = f(x) = Write the equation of the tangent line at x = 4. 2 ¼

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tan x

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