Home
Class 12
MATHS
Let f(x) = cos x - (1 - (x^(2))/(2)) the...

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)`

A

`(-oo, 1]`

B

`[0, oo)`

C

`(-oo, -1]`

D

`(-oo, oo)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

Let f(x) = int e^(x) (x - 1) (x - 2)dx . Then f decreases in the interval a) (-oo, - 2) b) (-2, -1) c)(1, 2) d) (2, + oo)

The function f (x) = 2x^(3) - 15 x ^(2) + 36 x + 6 is strictly decreasing in the interval a) (2,3) b) (-oo,2) c) (3,4) d) (-oo,3) uu(4,oo)

If |x-1|+|x-3| le 8 , then the values of x lie in the interval a) (-oo, -2) b) [-2, 6] c) (-3, 7) d) (-2, oo)

The interval in which y=x^2e^(-x) is increasing is a) (0,2) b) (-2,0) c) (2,oo) d) (-oo,oo)

If the roots of the quadratic equation 3x^(2) + 2x + a^(2) - a = 0 in x are of opposite signs, then a lies in the interval a) (-oo, -2) b) (-oo, 0) c) (-1, 0) d) (0, 1)

Let f(x) = x sqrt(4ax - x^(2)), (a gt 0) . Then f(x) is a)increasing in (0, 3a), decreasing in (3a, 4a) b)increasing in (a, 4a), decreasing in (5a, oo) c)increasing in (0, 4a) d)None of these

If f(x) = xe^(x (1- x)) , then f(x) is a)increasing on [-1/2, 1] b)decreasing on R c)increasing on R d)decreasing on [-1/2, 1]

If f(x) = (t + 3x - x^(2))/(x - 4) , where t is a parameter for which f(x) has a minimum and maximum, then the range of values of t is a)(0, 4) b) (0, oo) c) (-oo, 4) d) (4, oo)

which among the following inequality represents the intervals [2,oo)

The functions f(x) = tan ^(-1) (sin x +cos x ) , x gt 0 is always an increasing functions on the interval :