Stationary points and classification · Short practice

Check a final answer, then explain the reasoning on paper. Guest progress stays in this browser; an account saves future checks without overwriting your first result.

Recall

Stationary points and second derivatives — objective 1

Maths4U Original · Short practice

Consider \(y=- 48 x + 4 \left(x - 5\right)^{3} + 260\).

Find the smaller stationary x-coordinate.

Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.

Fresh review variant

Stationary points and second derivatives — objective 1

Maths4U Original · Short practice

Consider \(y=- 27 x + \left(x - 1\right)^{3} + 48\).

Find the smaller stationary x-coordinate.

Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.

Method

Stationary points and second derivatives — objective 2

Maths4U Original · Short practice

Consider \(y=- 27 x + \left(x - 1\right)^{3} + 48\).

Find the larger stationary x-coordinate.

Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.

Fresh review variant

Stationary points and second derivatives — objective 2

Maths4U Original · Short practice

Consider \(y=- 6 x + 2 \left(x - 2\right)^{3} + 34\).

Find the larger stationary x-coordinate.

Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.

Apply

Stationary points and second derivatives — objective 3

Maths4U Original · Short practice

Consider \(y=- 6 x + 2 \left(x - 2\right)^{3} + 34\).

Find the height of the local maximum.

Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.

Fresh review variant

Stationary points and second derivatives — objective 3

Maths4U Original · Short practice

Consider \(y=- 36 x + 3 \left(x - 3\right)^{3} + 131\).

Find the height of the local maximum.

Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.

Check understanding

Stationary points and second derivatives — objective 4

Maths4U Original · Short practice

Consider \(y=- 36 x + 3 \left(x - 3\right)^{3} + 131\).

Find the height of the local minimum.

Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.

Fresh review variant

Stationary points and second derivatives — objective 4

Maths4U Original · Short practice

Consider \(y=- 108 x + 4 \left(x - 4\right)^{3} + 456\).

Find the height of the local minimum.

Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.

Try written exam-style problems →