Hints only — never the answer.
Each card maps to one problem step. Tap “I’m stuck here” whenever a step doesn’t make sense.
Deciding monotonicity from the derivative
Treating a zero of the derivative as an extremum without checking a sign change
Order of matrix multiplication
Treating AB and BA as the same transformation
Shifted extrema
Substituting special values instead of proving the overall shift
Differentiate first, split the domain at the zeros, then read monotonicity from the signs.
Write the exact sticking point, e.g. “why can we substitute here” or “how do I determine the sign”.