MCQs of Applications of Derivatives

Showing 41 to 50 out of 152 Questions

41.

f (x) = 1 - x^{2} - x^{5}

is decreasing function for _____

42.

f (x) = \frac{1}{x + 1} - \log (x + 1), x > 0

(a)	increasing function
(b)	decreasing function
(c)	both increasing and decreasing function
(d)	none of these

43.

f (x) = {(x (x - 2))}^{2}

is increasing function in

44.

f (x) = \cos x - 2 p x

is strictly increasing for

45.

f (x) = \cos |x| - 2 a x + b

is increasing for all x∈R then

46.

f (x) = x^{2} + a x + 5

is increasing on (2, 3), then minimum value of a ∈ R is _____

47.

f (x) = \{\begin{cases} 0, & x = 0 \\ x - 3, & x > 0 \end{cases}

then f(x) is

(a)	increasing for $x \geq 0$
(b)	strictly increasing for x > 0
(c)	strictly increasing for x = 0
(d)	not continuous at x = 0 so it is not increasing for x > 0

48.

f (x) = \frac{λ \sin x + 6 \cos x}{2 \sin x + 3 \cos x}

is strictly increasing function, then

49.

Function

f (x) = 1 - e^{- \frac{x^{2}}{2}}

(a)	increasing for all x ∈ R
(b)	decreasing for all x ∈ R
(c)	decreasing for x < 0 and increasing for x > 0
(d)	increasing for x < 0 and decreasing for x > 0

50.

f (x) = x e^{1 - x}

then f is _____

(a)	strictly increasing function in $(\frac{1}{2}, 2)$
(b)	increasing function in (0, ∞)
(c)	decreasing function in (0, 2)
(d)	strictly decreasing function in (1, ∞)

Showing 41 to 50 out of 152 Questions