Applications of Derivatives Test

Result

Applications of Derivatives Test - 79

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Weekly Quiz Competition

Question 1
4 / -1

For which value of x, the function f(x) = x² – 2x is decreasing

A
x > 1

B
x > 2

C
x < 1

D
x < 2

Solution
Question 2
4 / -1

The values of ‘a’ for which the function (a + 2)x³ – 3ax² + 9ax – 1 decreases monotonically throughout for all real x, are

A
a < –2

B
a > –2

C
–3 < a < 0

D
– ∞ a ≤ – 3

Solution
Question 3
4 / -1

For all real values of x, increasing function f(x) is

A
x^–1

B
x²

C
x³

D
x⁴

Solution
Question 4
4 / -1

The function f(x) = 1 – e^–x²/2 is

A
Decreasing for all x

B
Increasing for all x

C
Decreasing for x < 0 and increasing for x > 0

D
Increasing for x < 0 and decreasing for x > 0

Solution
Question 5
4 / -1

The function f(x) = 1 – x³ – x⁵ is decreasing for

A
1 ≤ x ≤ 5

B
x ≤ 1

C
x ≥ 1

D
All values of x

Solution
Question 6
4 / -1

For the function f(x) = e^{x, a = 0, b = 1, the value of c in mean value theorem will be}

A
log x

B
log (e – 1)

C
0

D
1

Solution
Question 7
4 / -1

A
8.00

B
5.25

C
4.00

D
6.25

Solution
Question 8
4 / -1

A
–1

B
–2

C
1

D
2

Solution
Question 9
4 / -1

A
0

B
–1

C
1

D
2

Solution
Question 10
4 / -1

A

B

C

D

Solution