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IB DP · Mathematics AADifferentiation
QUESTION 1[3 marks]

Let f(x) = x³ − 4x.

(a) Find an expression for f′(x).
(b) Hence, find f′(2).
Show worked solution

Differentiate each term using the power rule.

f′(x) = 3x² − 4

Now substitute x = 2.

f′(2) = 3(2)² − 4 = 8

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