What’s up with a cusp?

Today, students will identify points of non-differentiability and check to see

if: lim ' lim '

x a x af x f x

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Continuity and Differentiability

• Explain why a function must be continuous at x=c to be differentiable at x=c. The graph below might help you.

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Funky Functions, Part I

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Funky Functions, Part I

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Using the definition of derivative:

• Use the definition of the derivative as a limit to find the slope function f’(x) of f(x)=4x2-3. Then use your slope function to find f’(11) and f’(1000).

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Absolute Value

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What’s wrong with this picture?

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Curve Constructor – Part 2

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Curve Constructor – Part 2

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Assignment:

•HW L

• See you tmrrw!!!