Latest Posts

The function x⁴ – 4x is decreasing in the interval

1) [–1, 1] 2) (–∞, 1) 3) [1, +∞) 4) None of these Solution: (2) (–∞, 1) f (x) =... View Article

1) b ≤ 1 2) b ≤ 0 3) b < – 1 4) b ≥ 0 Solution: (3) b... View Article

1) [3π / 4, 7π / 4] 2) [0, 3π / 4) 3) [π / 4, 3π / 4] 4)... View Article

1) Increasing 2) Decreasing 3) Neither increasing nor decreasing 4) None of the above Solution: (1) Increasing f (x) =... View Article

1) – 1 < x < 1 2) x < – 1 3) x > – 1 4) x >... View Article

1) Increasing 2) Decreasing 3) Neither increasing nor Decreasing 4) None of the above Solution: (3) Neither increasing or Decreasing... View Article

1) (–∞, 0] 2) [0, ∞) 3) R 4) None of these Solution: (3) R Since f’ (x) = 3... View Article

1) cos x 2) cos 2x 3) cos 3x 4) cot x Solution: (1) cos x f1 (x) = sin2... View Article

1) (–∞, –1] 2) (–∞, 0] 3) [1, ∞) 4) (0, ∞) Solution: (4) (0, ∞) f (x) = 1... View Article

1) [–1, 1] 2) [0, 1] 3) [–1, 0) ⋃ (0, 1] 4) [–1, 2] Solution: (3) [–1, 0) ⋃... View Article

1) y = 3x – 5 2) 2y = 3x + 4 3) y = 3x + 4 4) y... View Article

1) a < 0, b > 0 2) a ≤ 0, b > 0 3) a < 0, b <... View Article

1) (0, 2) 2) (1, 0) 3) (–1, 6) 4) (2, –2) Solution: (2) (1, 0) Given y = x... View Article

1) 2 2) 2 / √3 3) 2 / √5 4) 1 / 2 5) 1 / √5 Solution: (3)... View Article

(1) (3y – 4x – 1)/(2y – 3x + 2) (2) (3y + 4x + 1)/(2y + 3x + 2)... View Article

(1) 2log x/log 2 (2) 2log x.log 2 (3) 2log x/x (4) (2log x.log 2)/x Solution: y = 2log x... View Article

(1) [cot x log cos x + tan x log sin x)]/(log cos x)2 (2) [ tan x log cos... View Article

(1) 1/x, x > 0 (2) 1/|x|, x ≠ 0 (3) 1/x, x ≠ 0 (4) none of these Solution:... View Article

1) -1 2) 1 3) 2 4) 4 Solution: Let u = sin-1 (2x/1+x2) Put x = tan θ θ... View Article

(1) (3 + √3)/3 (2) (3 + √2)/2 (3) 1 + √2 (4) √2 Solution: Given f(x) = x3– 3x2... View Article