JAMB Mathematics 2023 Objective — Question 26
Question 26 of 40 from the Joint Admissions and Matriculation Board (JAMB) Mathematics 2023 Objective paper, with the correct answer and a full explanation.
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Find the value of x at the minimum point of the curve y=x³+x²-x+1.
- A. -1
- B. 1
- C. -1/3
- D. 1/3Correct
Explanation
dy/dx=3x²+2x-1=0 ⇒ (3x-1)(x+1)=0 ⇒ x=1/3 or -1. Since d²y/dx²>0 at x=1/3, this is the minimum.
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