IB Maths AA HL AA 5.2 Applications of differentiation questions

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Question 1

Paper 2, calculatorEasy6 marks

Consider the functions $f(x)=x^3-3x$ and $g(x)=x^3$

The stationary points of $f$ are $(-1,2)$ and $(1,-2)$

(a)

Use the second derivative test to classify each stationary point of $f$

[2]

(b)

Determine whether $(0,0)$ is a point of inflexion of $f$ and state the gradient there.

[2]

(c)

Determine whether $(0,0)$ is a point of inflexion of $g$ and state the gradient there.

[2]

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