Applications of Derivatives Test

Result

Applications of Derivatives Test - 58

Score
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Rank
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TIME Taken - -

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Weekly Quiz Competition

Question 1
4 / -1

A

B

C

D
None of these

Solution
Question 2
4 / -1

A function f is defined by f(x) = e^x sin x in [0, π]. Which of the following is not correct

A
f is continuous in [0, π]

B
f is differentiable in [0, π]

C
f(0) = f(π)

D
Rolle’s theorem is not true in [0, π]

Solution
Question 3
4 / -1

A
0

B

C

D
None of these

Solution
Question 4
4 / -1

A
3

B
0

C
1

D
2

Solution
Question 5
4 / -1

A
a = – 11

B
a = – 6

C
a = 6

D
a = 11

Solution
Question 6
4 / -1

A

B

C

D

Solution
Question 7
4 / -1

The abscissa of the points of the curve y = x³ in the interval [–2,2], where the slope of the tangents can be obtained by mean value theorem for the interval [–2, 2], are

A

B

C

D
0

Solution
Question 8
4 / -1

The function f(x) = (x – 3)² satisfies all the conditions of mean value theorem in [3, 4]. A point on y = (x – 3)², where the tangent is parallel to the chord joining (3, 0) and (4, 1) is

A

B

C
(1, 4)

D
(4, 1)

Solution
Question 9
4 / -1

A

B

C

D

Solution
Question 10
4 / -1

A

B

C

D

Solution