If composite function `f_1(f_2(f_3((f_n(x))))n` timesis an increasing function and if `r` of `f_i ' s` are decreasing function while rest are increasing, then the maximum value of `r(n-r)` is `(n^2-1)/4` , when `n` is an even number `(n^2)/4,` when `n` is an odd number `(n^2-1)/4,` when `n` is an odd number `(n^2)/4,` when `n` is an even number

If composite function f_(1)(f_(2)(f_(3)(...((f_(n))))n times is an increasing function and if r of f_(1) s are decreasing function while rest are increasing , then the maximum value of r(n-r) is

If composite function f_1(f_2(f_3((f_n(x))))n timesis an decreasing function and if r of f_i ' s are decreasing function while rest are increasing, then the maximum value of r(n-r) is (n^2-1)/4 , when n is an even number (n^2)/4, when n is an odd number (n^2-1)/4, when n is an odd number (n^2)/4, when n is an even number

If composite function f_1(f_2(f_3((f_n(x))))n timesis an decreasing function and if 'r' functions out of total 'n' functions are decreasing function while rest are increasing, then the maximum value of r(n-r) is

If composite function f_1(f_2(f_3((f_n(x))))n timesis an decreasing function and if 'r' functions out of total 'n' functions are decreasing function while rest are increasing, then the maximum value of r(n-r) is (a) (n^2-4)/4 , when n is of the form 4k (b) (n^2)/4, when n is an even number (c) (n^2-1)/4, when n is an odd number (d) (n^2)/4, when n is of the form 4k+2

If composite function f_1(f_2(f_3((f_n(x))))n timesis an decreasing function and if 'r' functions out of total 'n' functions are decreasing function while rest are increasing, then the maximum value of r(n-r) is (a) (n^2-4)/4 , when n is of the form 4k (b) (n^2)/4, when n is an even number (c) (n^2-1)/4, when n is an odd number (d) (n^2)/4, when n is of the form 4k+2

The function f:NrarrZ defined by f(n)=(n-1)/(2) when n is odd and f(n)=(-n)/(2) when n is even, is

The function f(x)=(4sin^(2)x-1)^(n)(x^(2)-x+1),n in N has a local minimum at x=(pi)/(6). Then (a) n is any even number (b) n is an odd number ( ) n is odd prime number (d) n is any natural number

The function f(x)=(4sin^2x−1)^n (x^2−x+1),n in N , has a local minimum at x=pi/6 . Then (a) n is any even number (b) n is an odd number (c) n is odd prime number (d) n is any natural number

The function f(x)=(4sin^2x−1)^n (x^2−x+1),n in N , has a local minimum at x=pi/6 . Then (a) n is any even number (b) n is an odd number (c) n is odd prime number (d) n is any natural number

The function f(x)=(4sin^2x−1)^n (x^2−x+1),n in N , has a local minimum at x=pi/6 . Then (a) n is any even number (b) n is an odd number (c) n is odd prime number (d) n is any natural number