[" (7) "f(x)=2|x-2|+3|x-4|" is "............." in "(2,4)],[[" (a) decreasing "," (b) increasing "],[" (c) constant "," (d) cannot be decided "]]

f(x) = x^(2) + 4 in [-3, 3]

The function f(x) = x^3 - 6x^2 + ax + b is such that f(2) = f(4) = 0 . Consider two statements. (S1) there exists x_1, x_2 in (2,4), x_1 lt x_2 , such that f' (x_1) = - 1 and f'(x_2) = 0 . (S2) there exists x_3, x_4 in (2, 4), x_3 lt x_4 , such that f is decreasing in (2 , x_4) , increasing in (x_4,4) and 2f'(x_3) = sqrt3 f(x_4) .

The function f(x) = x^3 - 6x^2 + ax + b is such that f(2) = f(4) = 0 . Consider two statements. (S1) there exists x_1, x_2 in (2,4), x_1 lt x_2 , such that f' (x_1) = - 1 and f'(x_2) = 0 . (S2) there exists x_3, x_4 in (2, 4), x_3 lt x_4 , such that f is decreasing in (2 , x_4) , increasing in (x_4,4) and 2f'(x_3) = sqrt3 f(x_4) .

If f(x)=3x^(2)-2x+4,f(-2)=

Let f(x)=|x^2-3x-4|,-1lt=xlt=4 Then f(x) is monotonically increasing in [-1,3/2] f(x) monotonically decreasing in (3/2,4) the maximum value of f(x)i s(25)/4 the minimum value of f(x) is 0

Let f(x)=|x^2-3x-4|,-1lt=xlt=4 Then f(x) is monotonically increasing in [-1,3/2] f(x) monotonically decreasing in (3/2,4) the maximum value of f(x)i s(25)/4 the minimum value of f(x) is 0

Let f(x)=|x^(2)-3x-4|,-1<=x<=4 Then f(x) is monotonically increasing in [-1,(3)/(2)]f(x) monotonically decreasing in ((3)/(2),4) the maximum value of f(x) is (25)/(4) the minimum value of f(x) is 0

Let f(x)=x^4+9x^3+35x^2-x+4 . Find f(-5+ 2sqrt(-4)) .

if {df(x)}/dx=4x^2-3/x^4 , given f(2)=0 . Find f(x)

If (d/dx)f(x) = 4x^3 - 3/(x^4) such that f(2) = 0 . Then f(x) is