CUET Mathematics 2022 17 Aug Shift 2 PYQs

The value of $x$ for which $\frac{dy}{dx} = 0$, is

For the function, $f(x) = \frac{-3}{4}x^4 - 8x^3 - \frac{45}{2}x^2 - 350$, which of the following statements are correct?

(A) $x = -3$ and $x = -5$ are the only critical points of the given function.

(B) $x = -3$ is a point of local minimum.

(C) The local minimum value at $x = -3$ is 23.1.

(D) $x = -5$ is a point of local maximum.

Choose the correct answer from the options given below:

If D is the distance between Sumit and Amit, then the value of $x$ for which D is minimum, is :