The function f(x) = x2 - 4x; x ∈ [0

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Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Relations and Functions

Question:

The function f(x) = x² - 4x; x ∈ [0, 4] attains minimum value at:

Options:

x = 0

x = 1

x = 2

x = 4

Correct Answer:

x = 2

Explanation:

f(x) = x² - 4x; x ∈ [0, 4]

f'(x) = 2x - 4, put f'(x) = 0 ⇒ 2x - 4 = 0

⇒ x = 2

Minimum value at x = 2