Applications of Derivatives  MCQs

MCQs of Applications of Derivatives

Showing 11 to 20 out of 266 Questions
11.
f(x) = x7+ 5x3+ 125 is_____
(a) decreasing in (0, )
(b) decreasing in (-, 0)
(c) increasing on R
(d) neither increasing nor decreasing in R
Answer:

Option (c)

12.
The local maximum value of f(x) = x + 1x is _____
(a) 2
(b) -2
(c) 4
(d) -4
Answer:

Option (b)

13.
The local minimum value of xlog x is _____
(a) -1
(b) 0
(c) 1e
(d) e
Answer:

Option (d)

14.
If loge4 = 1.3868, then approximate value of loge4.01 =_____
(a) 1.3867
(b) 1.3869
(c) 1.3879
(d) 1.3893
Answer:

Option (d)

15.
The circumference of a circle is 20 cm and there is an error of 0.02 cm in its measurement. The approximate percentage error in area is_____
(a) 0.02
(b) 0.2
(c) π
(d) 1π
Answer:

Option (b)

16.
If the line y=x touches the curve y=x2+bx+c at (1, 1), then_____
(a) b = 1, c = 2
(b) b = -1, c = 1
(c) b = 1, c = 1
(d) b = 0, c = 1
Answer:

Option (b)

17.
y=aex, y=be-x intersect at right angles if _____(a0 ,b0)
(a) a=1b
(b) a=b
(c) a=-1b
(d) a+b=0
Answer:

Option (a)

18.
Tangent to y=5x5+10x+15_____
(a) is always vertical
(b) is always horizontal
(c) makes acute angle with the positive X-axis
(d) makes obtuse angle with the positive X-axis
Answer:

Option (c)

19.
f(x)=2x+cot-1x-log x+1+x2 is_____
(a) decreasing on (-, 0)
(b) decreasing on (0, )
(c) constant
(d) increasing on R
Answer:

Option (d)

20.
The sum of two non-zero numbers in 12. The minimum sum of their reciprocals is _____
(a) 110
(b) 14
(c) 12
(d) 13
Answer:

Option (d)

Showing 11 to 20 out of 266 Questions