[" In the interval "],[(7,oo),f(x)=|x-5|+2|x-7|" is "]

For the fucntion f(x)=x cos ""1/x, x ge 1 which one of the following is incorrect ? (a)for atleast one x in the interval [1, oo), f(x + 2) - f(x) lt 2 (b) underset(x rarr oo)(lim) f'(x) = 1 (c)for all x in the interval [1, oo), f(x+2) - f(x) gt 2 (d)f'(x) is strictly decreasing in the interval [1, oo)

In the interval R- (0) the function f(x)=(3)/(x)+7 is

Find the intervals in which f(x) =x^(3)-2x^(3) -4x +7 is increasing

Find the interval in which function f(x)=x^(2)+2x-7 is increasing.

Find the interval in which function 'f(x)=x^2+2x-7' is increasing.

Let f(x) = cos x - (1 - (x^(2))/(2)) then f(x) is increasing in the interval a) (-oo, 1] b) [0, oo) c) (-oo, -1] d) (-oo, oo)

Verify Rolle's theorem for the following functions in the given intervals. f(x) = x^(3) - 7x^(2) + 16x - 12 in the interval [2,3].

Verify Rolle's theorem for the following functions in the given intervals. f(x) = x^(3) - 7x^(2) + 16x - 12 in the interval [2,3].

y= f(x) is a polynomial function passing through point (0, 1) and which increases in the intervals (1, 2) and (3, oo) and decreases in the intervals (-oo,1) and (2, 3). If f(1)= -8, then the range of f(x) is (a) [3,oo) (b) [-8,oo) (c) [-7,oo) (d) (-oo,6]