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Class 12 Maths: Application of Derivatives — Chapter Test 1

Class 12 • Maths • Application of Derivatives • Chapter Test

MediumFREE

15

Questions

20 min

Duration

15

Marks (1 each)

No

Negative marking

Original practice questions with full solutions by ExamPortal.

Instructions

  • • Read each question carefully and pick the correct answer.
  • • You can mark questions for review and come back to them.
  • • Answers are saved automatically.
  • • The test is submitted automatically when time runs out.

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SYLLABUS & QUESTION BLUEPRINT

Sample Practice Questions

Preview 5 sample questions from this 15-question test. Test your knowledge below or take the full exam in timed CBT mode.

Question 1 of 15
A function ff is increasing on an interval if, on that interval:
A
f′(x)<0f'(x) < 0
B
f′(x)>0f'(x) > 0
C
f′(x)=0f'(x) = 0
D
f′′(x)<0f''(x) < 0
View Correct Answer & Step-by-Step Solution
Correct Option:(B)f′(x)>0f'(x) > 0

Detailed explanation is available inside the official test attempt review.

Question 2 of 15
The slope of the tangent to y=x2y = x^2 at x=3x = 3 is:
A
3
B
6
C
9
D
2
View Correct Answer & Step-by-Step Solution
Correct Option:(B)6

Detailed explanation is available inside the official test attempt review.

Question 3 of 15
A point where f′(x)=0f'(x) = 0 and f′′(x)<0f''(x) < 0 is a point of:
A
local minimum
B
local maximum
C
inflection always
D
discontinuity
View Correct Answer & Step-by-Step Solution
Correct Option:(B)local maximum

Detailed explanation is available inside the official test attempt review.

Question 4 of 15
The minimum value of x2−4x+7x^2 - 4x + 7 is:
A
3
B
4
C
7
D
0
View Correct Answer & Step-by-Step Solution
Correct Option:(A)3

Detailed explanation is available inside the official test attempt review.

Question 5 of 15
The radius of a circle increases at 2 cm/s. The rate of increase of area when r = 5 cm is:
A
10π10\pi cm²/s
B
20π20\pi cm²/s
C
25π25\pi cm²/s
D
5π5\pi cm²/s
View Correct Answer & Step-by-Step Solution
Correct Option:(B)20π20\pi cm²/s

Detailed explanation is available inside the official test attempt review.

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Frequently asked questions

How many questions are there in Class 12 Maths: Application of Derivatives — Chapter Test 1?

There are 15 questions to answer in 20 min. Each correct answer gives 1 mark, for a total of 15 marks.

Is there negative marking?

No. Wrong answers do not lose marks, so attempt every question.

Is this mock test free?

Yes, it is completely free. Just log in with your email to start.

What does this test cover?

It covers the chapter "Application of Derivatives" of Class 12 Maths. All questions are original, with a full solution for each.

Will I see my result and the solutions?

Yes. Right after you submit you get your score, accuracy, rank and percentile, and you can review every question with the correct answer and a step-by-step explanation.

Can I take this test again?

Yes, you can retake it as many times as you like and compare your scores.