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Recall
Stationary points of a cubic — objective 1
Maths4U Original · Short practice
\(f(x)=x^{3} - 3 x + 6\).
Find the smaller stationary x-coordinate.
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.
Fresh review variant
Stationary points of a cubic — objective 1
Maths4U Original · Short practice
\(f(x)=2 x^{3} - 24 x + 7\).
Find the smaller stationary x-coordinate.
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.
Method
Stationary points of a cubic — objective 2
Maths4U Original · Short practice
\(f(x)=2 x^{3} - 24 x + 7\).
Find the larger stationary x-coordinate.
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.
Fresh review variant
Stationary points of a cubic — objective 2
Maths4U Original · Short practice
\(f(x)=3 x^{3} - 81 x + 8\).
Find the larger stationary x-coordinate.
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.
Apply
Stationary points of a cubic — objective 3
Maths4U Original · Short practice
\(f(x)=3 x^{3} - 81 x + 8\).
Find the local maximum value.
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.
Fresh review variant
Stationary points of a cubic — objective 3
Maths4U Original · Short practice
\(f(x)=4 x^{3} - 192 x + 9\).
Find the local maximum value.
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.
Check understanding
Stationary points of a cubic — objective 4
Maths4U Original · Short practice
\(f(x)=4 x^{3} - 192 x + 9\).
Find the local minimum value.
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.
Fresh review variant
Stationary points of a cubic — objective 4
Maths4U Original · Short practice
\(f(x)=x^{3} - 75 x + 2\).
Find the local minimum value.
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.