Mathematics Objective Questions and Answers: Derivative
Review structured MCQ sets for JEE Mathematics Derivative. Built according to official JEE guidelines, these downloadable questions support daily revision and core concept reinforcement.
Download Derivative MCQs with Answers
View or download the dedicated Derivative MCQ resource below. Practicing these 50 objective questions regularly builds familiarity with standard exam patterns and helps secure higher marks in final Mathematics evaluations.
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
Free study material for Application of Derivatives
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JEE Mathematics Derivative Objective Test Questions
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NCERT-Aligned Objective Questions and Solutions
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FAQs
You can get most exhaustive JEE Mathematics Derivative MCQs for free on StudiesToday.com. These MCQs for JEE Mathematics are updated for the 2026-27 academic session as per JEE 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 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 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.