Match each situation to the right tool

Exercise and reference answers

Matching pairs

Left
Two quantities both changing with time
Right
chain rule for related rates
Left
Deciding maximum or minimum at a critical point
Right
first or second derivative test
Left
Largest value over a closed interval
Right
the working rule with endpoints
Left
Whether the graph rises or falls
Right
the sign of f ′(x)

Choosing the tool is most of the marks in this chapter. Source: syllabus Maths Part I, Ch 6 Application of Derivatives.