Teachoo Quiz

Maths Application of Derivatives Class 12 Case Based MCQ Questions

Case Based MCQ Quiz · Class 12 · Maths · CBSE

Preparing for CBSE

Chapter 6 Class 12 Application of Derivatives | 10 questions | about 8 minutes

Practise Application of Derivatives Class 12 with Teachoo's Case Based MCQ Quiz (Class 12 · Maths · CBSE). Practise these questions in a free interactive quiz with answer feedback.

Attempt time 0:00
This question 0:00
Question 1 of 10
Advertisement
Question 1 of 10
An open box
An open box
An open box is to be made out of a piece of cardboard measuring \((24 \mathrm{~cm} \times 24 \mathrm{~cm})\) by cutting of equal squares from the corners and turning up the sides.
Based on the above information answer the following questions:
Find the volume of that open box?
Select an option to see the answer, or skip this question.
Question 2 of 10
An open box
An open box
An open box is to be made out of a piece of cardboard measuring \((24 \mathrm{~cm} \times 24 \mathrm{~cm})\) by cutting of equal squares from the corners and turning up the sides.
Based on the above information answer the following questions:
Find the value of \(\frac{d V}{d x}\)
Select an option to see the answer, or skip this question.
Question 3 of 10
An open box
An open box
An open box is to be made out of a piece of cardboard measuring \((24 \mathrm{~cm} \times 24 \mathrm{~cm})\) by cutting of equal squares from the corners and turning up the sides.
Based on the above information answer the following questions:
Find the value of \(\frac{d^2 V}{d x^2}\)
Select an option to see the answer, or skip this question.
Question 4 of 10
An open box
An open box
An open box is to be made out of a piece of cardboard measuring \((24 \mathrm{~cm} \times 24 \mathrm{~cm})\) by cutting of equal squares from the corners and turning up the sides.
Based on the above information answer the following questions:
Find the value of \(x\) other than \(12 ?\)
Select an option to see the answer, or skip this question.
Question 5 of 10
An open box
An open box
An open box is to be made out of a piece of cardboard measuring \((24 \mathrm{~cm} \times 24 \mathrm{~cm})\) by cutting of equal squares from the corners and turning up the sides.
Based on the above information answer the following questions:
Volume is maximum at what height of that open box?
Select an option to see the answer, or skip this question.
Question 6 of 10
The Relation between
The Relation between
The Relation between the height of the plant (y in cm) with respect to exposure to sunlight is governed by the following equation \(y=4 x-\frac{1}{2} x^2\) where \(x\) is the number of days exposed to sunlight.
The rate of growth of the plant with respect to sunlight is \(\_\_\_\_\) .
Select an option to see the answer, or skip this question.
Question 7 of 10
The Relation between
The Relation between
The Relation between the height of the plant (y in cm) with respect to exposure to sunlight is governed by the following equation \(y=4 x-\frac{1}{2} x^2\) where \(x\) is the number of days exposed to sunlight.
What is the number of days it will take for the plant to grow to the maximum height?
Select an option to see the answer, or skip this question.
Question 8 of 10
The Relation between
The Relation between
The Relation between the height of the plant (y in cm) with respect to exposure to sunlight is governed by the following equation \(y=4 x-\frac{1}{2} x^2\) where \(x\) is the number of days exposed to sunlight.
What is the maximum height of the plant?
Select an option to see the answer, or skip this question.
Question 9 of 10
The Relation between
The Relation between
The Relation between the height of the plant (y in cm) with respect to exposure to sunlight is governed by the following equation \(y=4 x-\frac{1}{2} x^2\) where \(x\) is the number of days exposed to sunlight.
What will be the height of the plant after 2 days?
Select an option to see the answer, or skip this question.
Question 10 of 10
The Relation between
The Relation between
The Relation between the height of the plant (y in cm) with respect to exposure to sunlight is governed by the following equation \(y=4 x-\frac{1}{2} x^2\) where \(x\) is the number of days exposed to sunlight.
If the height of the plant is \(7 / 2 \mathrm{~cm}\), the number of days it has been exposed to the sunlight is \(\_\_\_\_\).
Select an option to see the answer, or skip this question.

Frequently asked questions

Who is this Application of Derivatives Class 12 quiz for?

This Case Based MCQ Quiz covers Application of Derivatives Class 12 for Class 12 · Maths · CBSE. Practise the questions in the interactive quiz and check your answers.

Is this quiz free?

Yes. This online quiz is free to attempt. Teachoo Black is not required to take the quiz.

How many questions will I get?

The current selection contains 10 questions. The questions and count can vary with the available question bank and grouped questions.

Can I check my answers and score?

Yes. In quiz mode, check your answer to receive feedback. Submit the quiz to review your score and answers. Full Teachoo solution links are shown where available.

Will I get the same questions when I retry?

Questions can change between attempts. Teachoo uses your previous practice when available to prioritise new questions and revision; a completely new set is not guaranteed.

Practice · Application of Derivatives Class 12

Stuck? Keep your progress moving.