MCQs of Applications of Derivatives

Applications of Derivatives MCQs

MCQs of Applications of Derivatives

Showing 191 to 200 out of 266 Questions

191.

The slope of the tangent at point (1, 1) to the curve x² + y² = 2 is _____.

(a)	-1
(b)	0
(c)	1
(d)	2

192.

The approximate value of

\log {}_{10}99

is ______.

(\log {}_{10}e = 0.4343)

(a)	-1.995657
(b)	1.995657
(c)	-1.985657
(d)	1.985657

193.

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

194.

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

195.

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

196.

The approximate value of

\log {}_{e}5 . 1

is ______ where

\log {}_{e}5 = 1.609

(a)	1.629
(b)	1.809
(c)	1.701
(d)	1.611

197.

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

198.

The perpendicular distance from (0, 0) to the normal at x = 0 to the curve y = e^2x + x² is ______.

(a)	$\frac{2}{\sqrt{5}}$
(b)	$\frac{4}{\sqrt{5}}$
(c)	$\frac{1}{\sqrt{5}}$
(d)	$\frac{3}{\sqrt{5}}$

199.

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

200.

Error in measuring the radius of a sphere is 2% then the error in its surface area is _____

(a)	2%
(b)	4%
(c)	1%
(d)	3%

Showing 191 to 200 out of 266 Questions