If The Function G Be Given By G U 2 Tan 1 E U Pi 2 Then G Is Equal To
1) even and strictly increasing in (0, ∞) 2) odd and is strictly increasing in (- ∞, ∞) 3) odd... View Article
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If F X X 3 Use Mean Value Theorem To Write
1) -1 2) -0.5 3) 0.5 4) 1 Solution: f (x) = x3 f (x + h) = (x +... View Article
If F X X 3 6x 2 36x 2 Is Decreasing Function Then X Belongs To
1) (6, ∞) 2) (-∞, -2) 3) (-2, 6) 4) None of these Solution: (3) (-2, 6) f (x) =... View Article
The Rolle S Theorem Is Applicable In The Interval 1 X 1 For The Function
1) f (x) = x 2) f (x) = x2 3) f (x) = 2x3 + 3 4) f (x)... View Article
In Which Of The Following Functions Rolle S Theorem Is Applicable
1) f (x) = |x| in – 2 ≤ x ≤ 2 2) f (x) = tanx in 0 ≤ x... View Article
The Value Of C In 0 2 Satisfying The Mean Value Theorem For The Function F X X X 1 2
1) 3/4 2) 4/3 3) 1/3 4) 2/3 5) 5/3 Solution: (2) 4/3 f (x) = x(x – 1)2, x... View Article
For What Values Of X Function F X X 4 4x 3 4x 2 40 Is Monotonic Decreasing
1) 0 < x < 1 2) 1 < x < 2 3) 2 < x < 3 4) 4... View Article
If F Be A Real Valued Function Defined On The Interval 0 Infinity By
1) f’’ (x) exists for all x ∈ (0, ∞) 2) f’ (x) exists for all x ∈ (0, ∞)... View Article
If F G And H Be Real Valued Functions Defined On The Interval 0 1
1) a = b and c ≠ b 2) a = c and a ≠ b 3) a ≠ b... View Article
If F X 2x 2 X 4 X Belongs To 1 2 Then For Some C 1 2 F C Is Equal To
1) [f (2) – f (0)] / [2 – 0] 2) [f (2) – f (1)] / [2 – (-1)]... View Article
If F X Kx Cosx Is Monotonically Increasing For All X Belongs To R Then
1) K > – 1 2) K < 1 3) K > 1 4) None of these Solution: (1) K... View Article
If F X Xe X 1 X Then F X Is
1) increasing on R 2) decreasing on [- (1/2), 1] 3) increasing on [-(1/2), 1] 4) decreasing on R Solution:... View Article
The Function F X Ax B Is Strictly Increasing For All Real X If
1) a > 0 2) a < 0 3) a = 0 4) a ≤ 0 Solution: (1) a >... View Article
If F X Then The Function F X Is
If f (x) =then the function f (x) is 1) increasing when x > 0 2) strictly increasing when x... View Article
The Function F X X X 2 2 Is Increasing In The Set
1) (-∞, 0) ∪ (2, ∞) 2) (-∞, 1) 3) (0, 1) ∪ (2, ∞) 4) (1, 2) 5) (0,... View Article
The Value Of C In Mean Value Theorem For The Function F X 2x 2 3x 4 In The Interval 1 2 Is
1) 1/2 2) 1/3 3) 3/2 4) 2/3 Solution: (3) 3 / 2 f (x) = 2x2 + 3x +... View Article
Which Of The Following Functions Is Decreasing On 0 Pi 2
1) sin 2x 2) cos 3x 3) tan x 4) cos 2x Correct option: (4) cos 2x Solution: Let us... View Article
Rolle S Theorem Is Applicable In The Interval 2 2 For The Function
1) f (x) = x2 2) f (x) = 4x4 3) f (x) = 2x3 + 3 4) f (x)... View Article
If F Is A Real Valued Differentiable Function Such That F X F X 0 For All Real X Then
1) f(x) must be an increasing function 2) f(x) must be decreasing function 3) |f(x)| must be increasing function 4)... View Article
The Function X Cot X
1) always increases 2) always decreases 3) never decreases 4) sometimes increases and sometimes decreases Solution: (1) always increases f... View Article
