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Question 3

Math Analysis HL Paper 2 (May 2025, TZ2)

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  1. [Maximum mark: 6]

The derivative of a function (f) is given by (f'(x) = 4 + 2x - 3e^x), where (x \in \mathbb{R}).

(a) Find the values of (x) for which (f) is decreasing. [3]

(b) Find the values of (x) for which the graph of (f) is concave-up. [3]