IB Maths AA SL Topic 5: Calculus questions

Exam-style questions in the shape of Paper 1 and Paper 2, with full markschemes. Read the markscheme, or type, photograph or draw your answer and get it marked.

Paper
Paper 1, no calculatorPaper 2, calculator
Difficulty
EasyMediumHard

Question 1

Paper 1, no calculatorMedium5 marks

The curve CC has equation y=f(x)=x3−3xy=f(x)=x^3-3x for −2≤x≤2-2\leq x\leq 2 Figure 1 shows CC

-2-112-3-2-10123xy
(a)

Use Figure 1 to state the xx-coordinates of the stationary points of CC

[1]
(b)

Determine whether each stationary point is a local maximum or a local minimum. Justify your answers.

[2]
(c)

Show that (0,0)(0,0) is a point of inflexion of CC and determine the gradient of CC there. State whether this gradient is zero or non-zero.

[2]

The best questions are still waiting

Unlock every question in this topic, then type, photograph or draw your answer and have it marked against the markscheme. Find out where you are dropping marks.

Unlock all questionsCompare Student and Student Plus