1) Both f (x) and g (x) are increasing functions 2) Both f (x) and g (x) are decreasing functions 3) f (x) is an increasing function 4)... View Article
1) f (x) is decreasing in [ - ∞, 10] and increasing in [10, ∞] 2) f (x) is increasing in [-∞, 10] and decreasing in [10, ∞] 3) f (x) is... View Article
1) Decreasing for all x 2) Decreasing in (-∞, -1) and increasing (-1, ∞) 3) Increasing for all x 4) Decreasing in (-1, ∞) and increasing... View Article
1) f (x) is increasing in (0, π / 2) and decreasing in (π / 2, π) 2) f (x) is decreasing in (0, π / 2) and increasing in (π / 2, π) 3) f... View Article
1) Increases in [0, ∞] 2) Decreases in [0, ∞] 3) Neither increases nor decreases in (0, ∞) 4) Increases in (-∞,∞) 5) 1 and 4 correct... View Article
1) a ≥ √2 2) a < √2 3) a ≥ 1 4) a < 1 Solution: (1) a ≥ √2 f (x) = sin x - cos x - ax + b f’ (x) = cos x + sin x - a = √2... View Article