Practice JEE Mathematics Derivative MCQs provided below. The MCQ Questions for JEE Derivative Mathematics with answers and follow the latest JEE (Main)/ NCERT and KVS patterns. Refer to more Chapter-wise MCQs for JEE (Main) JEE Mathematics and also download more latest study material for all subjects
MCQ for JEE Mathematics Derivative
JEE Mathematics students should review the 50 questions and answers to strengthen understanding of core concepts in Derivative
Derivative MCQ Questions JEE Mathematics with Answers
Question. If y = sin–1(2x/1+x2) then dy/dx equals
(a) 2/1+ x22/1+ x2
(b) 2x/1+ x2
(c) 2x/1+ x
(d) None of these
Answer: A
Question. If y = sec x tan x/ sec x tan x, then dy/dx equals
(a) – 2 sec x (sec x – tan x)2
(b) – 2 sec x ( sec x + tan x)2
(c) 2 sec x (sec x – tan x)2
(d) 2 sec x (sec x + tan x)2
Answer: A
Question. If y = (1 + x1/4) (1 + x1/2) (1 – x1/4), then dy/dx equals-
(a) –1
(b) x
(c) 1
(d) None of these
Answer: A
Question. If y = log (ex/ex+1), then dy/dx equals-
(a) 1/ex +1
(b) 1/(ex +1)2
(c) Both
(d) None of these
Answer: A
Question. If x = e tan-1(y-x2/x2) ,then dy/dx equals-
(a) 2x [1 + tan (logx)] + x sec2 (logx)
(b) 2x [1+ tan (log x)] + x sec (log x)
(c) None of these
(d) x [1+ tan (log x)] + sec2 (logx)
Answer: A
Question. If y = tan-1 3x -x3/1-3x2 , then dy/dx equals-
(a) 3/1+ x2
(b) 3x
(c) tan 3x
(d) None of these
Answer: A
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Free study material for Application of Derivatives
MCQs for Derivative Mathematics JEE
Students can use these MCQs for Derivative to quickly test their knowledge of the chapter. These multiple-choice questions have been designed as per the latest syllabus for JEE Mathematics released by JEE (Main). Our expert teachers suggest that you should practice daily and solving these objective questions of Derivative to understand the important concepts and better marks in your school tests.
Derivative NCERT Based Objective Questions
Our expert teachers have designed these Mathematics MCQs based on the official NCERT book for JEE. We have identified all questions from the most important topics that are always asked in exams. After solving these, please compare your choices with our provided answers. For better understanding of Derivative, you should also refer to our NCERT solutions for JEE Mathematics created by our team.
Online Practice and Revision for Derivative Mathematics
To prepare for your exams you should also take the JEE Mathematics MCQ Test for this chapter on our website. This will help you improve your speed and accuracy and its also free for you. Regular revision of these Mathematics topics will make you an expert in all important chapters of your course.
You can get most exhaustive JEE Mathematics Derivative MCQs for free on StudiesToday.com. These MCQs for JEE Mathematics are updated for the 2025-26 academic session as per JEE (Main) examination standards.
Yes, our JEE Mathematics Derivative MCQs include the latest type of questions, such as Assertion-Reasoning and Case-based MCQs. 50% of the JEE (Main) paper is now competency-based.
By solving our JEE Mathematics Derivative MCQs, JEE students can improve their accuracy and speed which is important as objective questions provide a chance to secure 100% marks in the Mathematics.
Yes, Mathematics MCQs for JEE have answer key and brief explanations to help students understand logic behind the correct option as its important for 2026 competency-focused JEE (Main) exams.
Yes, you can also access online interactive tests for JEE Mathematics Derivative MCQs on StudiesToday.com as they provide instant answers and score to help you track your progress in Mathematics.