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 ?

• A. x = 0 is a local maximum of f
• B. x = 3 is a local minimum of f
• C. x = -1 is a local maximum of f
• D. x = 0 is a local minimum of f

Answer 1

Answer: (A), (B)

x = 0 is a local maximum of f

Answer 2

The correct option is (A) : x = 0 is a local maximum of f and (B) : x = 3 is a local minimum of f.