Question 1

Paper 2, calculatorEasy6 marks

Consider the functions f(x)=x3−3xf(x)=x^3-3x and g(x)=x3g(x)=x^3

The stationary points of ff are (−1,2)(-1,2) and (1,−2)(1,-2)

(a)

Use the second derivative test to classify each stationary point of ff

[2]
(b)

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

[2]
(c)

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

[2]

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