For the function f(x)=x^3-2x^2-4x-5, which of the following statement is not correct ? Option 1: The function f(x) has local minima at x=2 Option 2: The local maximum value of f(x) at x=-2/3 is 13/27. Option 3: The turning points of the given curve are (2,-13) and (-2/3,-95/27) Option 4: The function has local maxima at x=-2/3

The answer is 'The local maximum value of f(x) at x=-2/3 is 13/27.'. View full solution:

CUET Mathematics - For the function f(x)=x^3-2x^2-4x-5, which of the following statement is not correct ? | PYQs + Solutions

CUET Mathematics 2026 18th May Shift 2

Calculus

Medium

applied

The function $f(x)$ has local minima at $x=2$

The local maximum value of $f(x)$ at $x=-\dfrac{2}{3}$ is $\dfrac{13}{27}$ .

The turning points of the given curve are $(2,-13)$ and $\left(-\dfrac{2}{3},-\dfrac{95}{27}\right)$

The function has local maxima at $x=-\dfrac{2}{3}$

✅ Correct Option: 2