MCQs of Applications of Derivatives

Applications of Derivatives MCQs

MCQs of Applications of Derivatives

Showing 101 to 110 out of 152 Questions

101.

The total revenue received from the sale of x units is given by R(x) = 10x² + 20x + 1500. The marginal revenue, when x = 2015, is _____.

(a)	40300
(b)	4032
(c)	40320
(d)	403

102.

If y = f(x) = sinx, then differential dy = ______, where

x = \frac{π}{6}

,dx = 0.01.

(a)	$\sqrt{3}$
(b)	$\sqrt{3} (0.005)$
(c)	$\sqrt{3} (0.05)$
(d)	$\sqrt{3} (0.5)$

103.

The critical point for

f (x) = x^{\frac{3}{5}} (4 - x), x \in R^{+} \cup \{0\}

is _____.

(a)	$0, \frac{- 2}{3}$
(b)	$0, \frac{- 3}{2}$
(c)	$0, \frac{3}{2}$
(d)	$0, \frac{2}{3}$

104.

The position of a particle is given by s = t³ - 6t² - 15t, where s is in meters, t is in seconds. If the particles is at rest, then time t = ______ .

(a)	0
(b)	5
(c)	1
(d)	5, 1

105.

If the radius of a sphere is 2, the rate of change of volume of a sphere with respect to its surface area is _____.

(a)	1
(b)	2
(c)	3
(d)	None of the above

106.

The rate of change of length of diagonal R with respect to its surface A of a square is _____.

(a)	R
(b)	$\frac{1}{R}$
(c)	$\sqrt{A}$
(d)	None of the above

107.

The distance x covered by an object in time t is given by x = t³ - 9t² + 24t + 6 when the acceleration of the object is 6 units, its velocity is _____.

(a)	-3
(b)	-6
(c)	0
(d)	3

108.

If f(x) = x² + ax + 5 is increasing on the interval (2, 3), then the minimum value of a is ______, a ∈ R.

(a)	4
(b)	-2
(c)	-4
(d)	2

109.

For

f (x) = \tan x, x \in R - \{(2 k + 1) \frac{π}{2} | k \in Z\}

, then set of critical numbers is ______ .

(a)	R
(b)	$R^{+} \cup \{0\}$
(c)	R - (-1, 1)
(d)	Φ

110.

If f(x) = x³ - 6x² - 36x + 2 is an increasing function, then x∈ _____.

(a)	(-2, 6)
(b)	(-∞,-2)
(c)	(6,∞)
(d)	None of the above

Showing 101 to 110 out of 152 Questions