Question 38
DifferentiationFind the minimum value of the function y = x(1 + x)
- A.−1/4
- B.−1/2
- C.1/4
- D.1/2
Show the answer and explanation
Answer: A (−1/4)
Explanation
dy/dx = 1 + 2x = 0 at x = −½. The minimum value is y = −½ × ½ = −¼.
Find the minimum value of the function y = x(1 + x)
Answer: A (−1/4)
dy/dx = 1 + 2x = 0 at x = −½. The minimum value is y = −½ × ½ = −¼.