MCQs of Applications of Derivatives

Showing 21 to 30 out of 152 Questions

21.

f (x) = t a n^{- 1} x - x

is_____.

22.

f (x) = t a n x - x, x \in R - \{(2 k - 1) \frac{π}{2} |k \in Z|\}

is_____

23.

f (x) = 2 x - t a n^{- 1} x - \log |x + \sqrt{1 + x^{2}}|

is______.

(x \in R) .

24.

If_____, then

f (x) = x^{2} - k x + 20

is strictly increasing on [0, 3].

25.

f (x) = |x - 1| + |x - 2|

is increasing if_____.

26.

The local minimum value of

x^{2} + \frac{16}{x} (x \neq 0)

is_____.

27.

The minimum value of

s e c x, x \in [\frac{2 π}{3}, π]

is _____.

28.

The maximum value of

cosecx, x \in [\frac{π}{6}, \frac{π}{3}]

is_____.

29.

f

is decreasing in

[a, b]

, its minimum and maximum values are respectively _____ and _____.

30.

The side of an equilateral triangle expands at the rate of

\sqrt{3} c m / s e c .

When the side is

12 c m,

the rate of increase of its area is_____.

Showing 21 to 30 out of 152 Questions