Challenge your friends

Try this Chapter 6 Class 12 Application of Derivatives quiz on Teachoo. Can you beat me?

WhatsApp Telegram

See class leaderboard →

Maths Application of Derivatives Class 12 Assertion and Reason Questions

Question 1 of 5
Question 1 of 5
Assertion (A): The function \(f(x)=x+\frac{1}{x}\) has a local minimum at \(x=1\).
Reason \((\mathrm{R})\) : \(f^{\prime}(1)=0\) and \(f^{\prime \prime}(1)>0\).
Select an option to see the answer, or skip this question.
Question 2 of 5
Assertion (A): The function \(f(x)=e^x\) has no local maximum or minimum.
Reason (R): The derivative of the function, \(f^{\prime}(x)=e^x\), is never equal to zero.
Select an option to see the answer, or skip this question.
Question 3 of 5
Assertion (A): If the marginal revenue of a company is greater than its marginal cost, it should increase production.
Reason (R): The rate of change of profit is positive when MR \(>\mathrm{MC}\).
Select an option to see the answer, or skip this question.
Question 4 of 5
Assertion (A): The function \(f(x)=x^2\) is decreasing on the interval \((-\infty, 0)\).
Reason (R): The derivative \(f^{\prime}(x)=2 x\) is negative for all \(x\) in the interval ( \(-\infty, 0\)).
Select an option to see the answer, or skip this question.
Question 5 of 5
Assertion (A): The function \(f(x)=\sin (x)\) is increasing on the interval \(\left(0, \frac{\pi}{2}\right)\).
Reason (R): The derivative, \(f^{\prime}(x)=\cos (x)\), is positive for all \(x\) in the interval ( \(0, \frac{\pi}{2}\))
Select an option to see the answer, or skip this question.
Attempt time 0:00
This question 0:00
Teachoo Quiz

Assertion Reasoning Quiz · Class 12 · Maths · CBSE

Preparing for CBSE

Class leaderboard

Chapter 6 Class 12 Application of Derivatives | 5 questions | about 4 minutes

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

Stuck? Keep your progress moving.

Frequently asked questions

Who is this Application of Derivatives Class 12 quiz for?

This Assertion Reasoning 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 5 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