Example 8 - Show f(x) = x3 - 3x2 + 4x is strictly increasing
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Example 8 Show that the function f given by f (𝑥) = 𝑥3 – 3𝑥2 4𝑥, 𝑥 ∈ R is strictly increasing on R. f(𝑥) = 𝑥3 – 3𝑥2 4𝑥Finding f’(𝒙) f’(𝑥) = 3𝑥2 – 3.2𝑥 4 f’(𝑥) = 3x2 – 6𝑥 4 f’(𝑥) = 3x2 – 6𝑥 3 1 f’(𝑥) = 3 (𝑥2 – 2𝑥 1) 1 f’(𝒙) = 3 (𝒙 – 1)2 1As square is a ...
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