Question:medium

Consider the function f: \(\R→ \R\) where \(\R\) is the set of all real numbers.
\(f(x)=\frac{x^4}{4}-\frac{2x^3}{3}-\frac{3x^2}{2}+1\)
Which of the following statements is/are TRUE ?

Updated On: Nov 25, 2025
  • x = 0 is a local maximum of f
  • x = 3 is a local minimum of f
  • x = -1 is a local maximum of f
  • x = 0 is a local minimum of f
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The Correct Option is A, B

Solution and Explanation

The correct options are: (A) x = 0 represents a local maximum of f, and (B) x = 3 represents a local minimum of f.
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