AQA Level 2 Certificate Further Maths
Topic questions Pure mathematics Second & higher derivatives
5 questions · 19 marks · about 25 minutes
For a curve y = f(x)
Show that the curve has a turning point where x = 3
Use 
to work out the nature of the turning point. You must show your working.
The equation of a curve is y = x3 – 3x2 + 5
Work out the stationary points of the curve and determine their nature. You must show your working.
Give your answer in the form a + bxn where a, b and n are integers.
Work out the positive value of x for which 
= 55
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