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Derivatives and Their Applications · Paper 2 — Free Maths AA SL Practice Questions

1MasterySAQ-SDefinition of a derivative (rate of change)6 marksPaper 2~9 min
The graph of f(x)=x3−6x2+9x+1f(x) = x^3 - 6x^2 + 9x + 1 is shown below for 0≤x≤40 \leq x \leq 4.
(a)
Show that the point A(2, 3)A(2,\,3) lies on the curve ff. [1 mark]
(b)
Find the exact gradient of the tangent to ff at x=2x = 2. [3 marks]
(c)
The tangent to ff at AA intersects ff again at a point BB. Find the xx-coordinate of BB. [2 marks]
diagram

Solutions

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