Find the minimum value of the function y = x(1+x)
...Find the minimum value of the function y = x(1+x)
-1/4
-1/2
1/4
1/2
Correct answer is A
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
A binary operation \(\otimes\) is defined by \(m \otimes n = mn + m - n\) on the set of real nu...
Solve the inequality -6(x + 3) \(\leq\) 4(x - 2)...
If 4y is 9 greater than the sum of y and 3x, by how much is y greater than x? ...
A cylindrical container closed at both ends, has a radius of 7cm and height 5cm [Take π = 22/7] ...
Evaluate log106 + log1045 - log1027 without using logarithm tables...
Simplify \(\left(\frac{16}{81}\right)^{-\frac{3}{4}}\times \sqrt{\frac{100}{81}}\)...