Applications of Derivatives Test

Result

Applications of Derivatives Test - 65

Score
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Rank
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TIME Taken - -

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Weekly Quiz Competition

Question 1
4 / -1

The maximum value of the function x³ + x² + x – 4 is

A
127

B
4

C
Does not have a maximum value

D
None of the above

Solution
Question 2
4 / -1

The function x² log x in the interval (1,e) has

A
A point of maximum

B
A point of minimum

C
Point of maximum as well as of minimum

D
Neither a point of maximum nor minimum

Solution
Question 3
4 / -1

A
0

B
2

C
4

D
6

Solution
Question 4
4 / -1

A
e

B
1

C

D
2e

Solution
Question 5
4 / -1

A
Local maximum at π and 2 π

B
Local minimum at π and 2 π

C
Local minimum at π and local maximum at 2 π

D
Local maximum at π and local minimum at 2 π

Solution
Question 6
4 / -1

A
A local maxima

B
A local minima

C
Neither a local maxima nor a local minima

D
None of the above

Solution
Question 7
4 / -1

If two sides of a triangle be given, then the area of the triangle will be maximum if the angle between the given sides be

A

B

C

D

Solution
Question 8
4 / -1

A

B

C

D

Solution
Question 9
4 / -1

The adjacent sides of a rectangle with given perimeter as 100 cm and enclosing maximum area are

A
10 cm and 40 cm

B
20 cm and 30 cm

C
25 cm and 25 cm

D
15 cm and 35 cm

Solution
Question 10
4 / -1

The necessary condition to be maximum or minimum for the function is

A
f’(x) = 0 and it is sufficient

B
f’’(x) = 0 and it is sufficient

C
f’(x) = 0 but it is not sufficient

D
f’(x) = 0 and f’’(x) = – vet

Solution