Maxima and MinimaHardBloom L3
Question
On the interval [0, 1] the function x25 (1 - x)75 takes its maximum value at the point -
Options
A.0
B.13
C.1/2
D.1/4
Solution
f(x) = x25 (1- x)75
f′(x) = 25.x24 (1- x)75 - 75.(1- x)74. x25
= 25. x24 (1- x)74{1- x - 3x}
= 25x24 (1- x)74 (1 - 4x)
Create a free account to view solution
View Solution FreeMore Maxima and Minima Questions
If p and q are positive real numbers such that p2 + q2 = 1, then the maximum value of (p + q) is...If y = a ln I x I + bx2 + x has its extremum values at x = -1 and x = 2, then :-...If a > 1, x > 1, then minimum value of loga x + logx a is -...f(c) is a maximum value of f(x) when at x = c -...The area of the rectangle with given perimeter will be maximum when the ration of its two sides is -...