Practice question · Sort into groups
Derivative or integral? Sort each business calculation by the tool it needs.
Groups: Differentiate · Integrate
- From marginal profit, find profit change between two outputs
- From a cash-flow rate, find cash accumulated this quarter
- From total cost, find the cost of the next unit
- From revenue , find marginal revenue
- From a daily sales rate, find monthly volume
Hints
- Going from totals to margins differentiates; the reverse integrates.
- Ask which direction the calculation runs.
Show the answer
Differentiate: From total cost, find the cost of the next unit, From revenue , find marginal revenue
Integrate: From a daily sales rate, find monthly volume, From marginal profit, find profit change between two outputs, From a cash-flow rate, find cash accumulated this quarter
Why
Totals → margins: differentiate. Rates/margins → totals: integrate. Every finance spreadsheet is quietly doing one or the other.
Practise Integral Calculus
The app has 8 more questions on this lesson, and keeps your place in the course. Business I is free to start.