Applications of Derivatives Test

Result

Applications of Derivatives Test - 67

Score
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out of -
Rank
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TIME Taken - -

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Weekly Quiz Competition

Question 1
4 / -1

A
1

B
2

C
3

D
4

Solution
Question 2
4 / -1

The number that exceeds its square by the greatest amount is

A
–1

B
0

C

D
1

Solution
Question 3
4 / -1

If for a function f(x), f’(a) = 0, f’’(a) = 0, f’’’(a) = 0 then x = a, f(x) is

A
Minimum

B
Maximum

C
Not an extreme point

D
Extreme point
Question 4
4 / -1

The least value of the sum of any positive real number and its reciprocal is

A
1

B
2

C
3

D
4

Solution
Question 5
4 / -1

x^x has a stationary point at

A
x = e

B

C

D

Solution
Question 6
4 / -1

The value of a so that the sum of the squares of the roots of the equation x² – (a – 2)x – a + 1 = 0 assume the least value, is

A
2

B
1

C
3

D
0

Solution
Question 7
4 / -1

A

B

C

D
None of these

Solution
Question 8
4 / -1

A

B

C

D

Solution
Question 9
4 / -1

A
1

B
2

C
3

D
0

Solution
Question 10
4 / -1

If sum of two numbers is 3, then maximum value of the product of first and the square of second is

A
4

B
3

C
2

D
1

Solution