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Calculator Review

Calculator Review. Find the slope of the tangent line to the curve at. Interpreting Graphs. The graph of g is shown. Where does g have critical numbers?. On what intervals is g’ negative? Positive?. Where does the graph have a relative maximum? Minimum?. The graph of h’ is shown.

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Calculator Review

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  1. Calculator Review

  2. Find the slope of the tangent line to the curve at

  3. Interpreting Graphs

  4. The graph of g is shown. Where does g have critical numbers? On what intervals is g’ negative? Positive? Where does the graph have a relative maximum? Minimum?

  5. The graph of h’ is shown. Where is the graph of h increasing? Where is the graph of h decreasing? Where does the graph have a local maximum? Where does the graph have a local minimum? Where does the graph have a horizontal tangent?

  6. Differentiability 3.2

  7. If f has a derivative at x = a, then f is continuous at x = a. Since a function must be continuous to have a derivative, if it has a derivative then it is continuous.

  8. To be differentiable, a function must be continuous and smooth. Derivatives will fail to exist at: corner cusp discontinuity vertical tangent

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