Question

The curve \( 4y = 3x^4 - 2x^2 \) attains

• A. both minimum values
• B. a maximum value and a minimum value respectively
• C. a minimum value and a maximum value respectively
• D. both maximum values

Hint:

In curve analysis, the second derivative test helps determine whether a critical point corresponds to a maximum or minimum. If \( \frac{d^2y}{dx^2} > 0 \), the point is a minimum, and if \( \frac{d^2y}{dx^2} < 0 \), the point is a maximum.

Answer 1

The Correct Option is A