📝 Second Derivative Test

Q1. Given \(f(x)=x^3-3x+2\), find the nature of the critical point at \(x=1\).

💡 Difficulty: easy | ✅ Correct: C

Q2. A company models profit as \(P(t)= -2t^3 + 9t^2 -12t +5\). Using the second derivative test, determine the nature of the critical point at \(t=1\).

💡 Difficulty: medium | ✅ Correct: A

Q3. A farmer’s profit function is \(P(x)= -3x^4+12x^3-12x^2+4\). Using the second derivative test, classify the critical point at \(x=1\).

💡 Difficulty: hard | ✅ Correct: A