Question:
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 ?
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 ?
\(f(x)=\frac{x^4}{4}-\frac{2x^3}{3}-\frac{3x^2}{2}+1\)
Which of the following statements is/are TRUE ?
Updated On: Feb 3, 2026
- 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 option is (A) : x = 0 is a local maximum of f and (B) : x = 3 is a local minimum of f.
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