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Spec: MM6 · No calculator · ~150s
Letters only — the answer key is hidden. Work it out, then check the solution below.
No written hint yet — check the trope: increasing-decreasing, sign-of-derivative. Name the trap first, work the stem by hand, then open the solution below.
Same topic · same level
TMUA-P1-MM6-004
Differentiate y = √x^3 (for x > 0 ) with respect to x.
Differentiation
Same trap: increasing-decreasing
TMUA-P1-MM6-010
For which values of x is f(x) = x^3 - 6x^2 + 9x + 1 strictly increasing?
Differentiation
Step up a level
TMUA-P1-MM6-009
The area of a circle is A = π r^2. The radius increases at 2 cm/s. At what rate is the area increasing when r = 5 cm?
Differentiation