GATE | DA | 2024 | Calculus | Question 50

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Consider the function 𝑓: ℝ β†’ ℝ where ℝ is the set of all real numbers.

f(x)= (x4/4) - (2x3/3) - (3x2/2) +1 

Which of the following statements is/are TRUE ?

π‘₯ = 0 is a local maximum of f

π‘₯ = 3 is a local minimum of f

π‘₯ = βˆ’1 is a local maximum of f

π‘₯ = 0 is a local minimum of f

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