Mathematics

Find the minimum value of the function y = x(1+x)

Find the minimum value of the function y = x(1+x)
  • A.
    1/4
  • B.
    1/2
  • C.1/4
  • D.1/2
Correct Answer: Option A
Explanation

y = x(1+x)
= x + x2
dy/dx = 1 + 2x
As dy/dy → 0
1 + 2x = 0
2x = -1
X = –1/2
Y = x(1+x)
= –1/2(1 – 1/2) at x = –1/2
= –1/2(1/2)
= –1/4