Difficulty guide
The label describes the problem, not your ability.
1/5 - Foundational
Warm-up setup; checks one basic idea.
2/5 - Routine exam skill
Normal syllabus skill; usually one main rule or interpretation.
3/5 - Standard multi-step
Exam-style problem with multiple steps or a common trap.
4/5 - Hard exam skill
High-end exam problem; combines methods carefully.
5/5 - Challenge
Stretch problem beyond normal exam pressure.
Question
(a) Find the slope of the solution at and write an equation for the tangent line there. Explain how the slope agrees with the field. (2 points)
(b) On the positive- portion of the slope field, where do solution curves have horizontal tangent segments? (1 point)
(c) Find the particular solution . (2 points)
(d) Determine the largest interval of containing on which this particular solution is differentiable. Justify your answer. (1 point)