ACE / Calc
Timed practice for Applications of Differentiation (4.1–5.10). Create a username, race the clock, climb the class board — you're already in this class because you're on /calc.
This unit
Through Test 3 — pick a skill and start a timed set.
Derivatives in Context
Interpret f′ as a rate of change in a real situation.
Days 2–3 · 4.4–4.5Related Rates
One clear related-rates setup; find the asked rate.
Day 4 · 4.6Linear Approximation
Approximate f near a given point.
Day 5 · 5.1Mean Value Theorem
Find c guaranteed by the MVT on [a, b].
Day 7 · 5.2–5.3Critical Points
Find where f′ = 0 or f′ is undefined.
Day 7 · 5.2–5.3Inc / Dec Intervals
From factored f′(x), find where f increases or decreases.
Day 8 · 5.4First Derivative Test
Classify relative max/min from an f′ sign change.
Day 9 · 5.5Candidates Test
Absolute max/min of f on a closed interval.
Day 10 · 5.6–5.7Second Derivative Test
Concavity, inflection, or classify with f″.
Day 11 · 5.8–5.9Extrema from a Graph
Read absolute/local max and min from a graph.
Day 11 · 5.8–5.9Connecting f, f′, f″
Match graph features to f′ and f″ signs.
Days 13–14 · 5.10Optimization
Quick one-variable max/min word problems.