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Calculus Homework Help and Tangent Line Existence

Reviewing homework and determining the existence of tangent lines in calculus. Explore where tangent lines exist, such as corners and cusps, and where they do not, like at discontinuities and vertical tangents. Investigate if a function has a tangent line at x=2. Solve problems involving rocket height and climbing speed. Homework includes solving specific exercises and preparing for Chapter 2 Test.

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Calculus Homework Help and Tangent Line Existence

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  1. Today in Calculus • Go over homework • Determining if a tangent line exists • Homework

  2. Tangent lines do NOT existwhere a function is discontinuous

  3. Tangent lines do NOT exist At corners At cusps

  4. Tangent lines exist but slope undefined At vertical tangents

  5. Does f(x) have a tangent line at x =2? Prove that it does or does not.

  6. At t sec after lift-off, the height of a rocket is 3t2 ft. How fast is the rocket climbing after 10 sec?

  7. Homework • Pg 88: 15,17,19 • Chapter 2 Test:

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