Differentiation JEE Main PYQs PDF, 2020–2026

Differentiation has 38 questions in JEE Main papers from 2020 to 2026, about 5.4 per year across all shifts. All 38 are in the free PDF, with an answer key. The most asked topic is Higher Order Derivatives (16 questions), followed by Implicit Differentiation (8) and Chain Rule (7).

Asked in JEE Main: 382020–2026, all shifts
In this free PDF: 38all of them, with answers
Asked in 2026: 3Latest paper: 2026 Apr S2
Most asked topic: Higher Order Derivatives16 Qs · 42% of the chapter
Difficulty mix: 3% easy · 81% medium · 16% hardof the questions in the PDF

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Source: official NTA JEE Main papers · Updated 8 Oct 2026

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How often it's asked in JEE Main

Differentiation had about 0.2 questions per shift in recent JEE Main papers (2024–26). Most asked topic: Higher Order Derivatives. About 3 questions in the 2026 papers.

It came up in about 12 of the 2024–26 shifts in our bank. Question types in 2020–2026: about 29 MCQs and about 9 numerical.

How many questions from Differentiation in JEE Main, year by year

Year	Questions	Per shift	MCQ	Numerical
2026	3	0.2	3	0
2025	0	0	0	0
2024	10	0.5	7	3
2023	7	0.3	6	1
2022	5	0.2	3	2
2021	4	0.2	1	3
2020	9	0.6	9	0
2020–2026	38	0.3	29	9

Most asked Differentiation topics, 2020–2026

Topic	Questions
Higher Order Derivatives	16
Implicit Differentiation	8
Chain Rule	7
Derivatives of Standard Functions	3
Parametric Differentiation	3

Every topic, year by year, is in the topic-wise table further down.

Counted from PrepWiser's question bank of JEE Main papers, 2020–2026. Per shift = questions that year ÷ shifts in our bank. Updated 8 Oct 2026.

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Two free sheets, made from the past JEE Main questions on this chapter.

Revision notes6 pages, 16 ideas with the usual mistakes.Open the revision notes Formula sheet2 pages, all 16 formulas.Open the formula sheet

Differentiation questions per year

Year	Asked	In PDF
2026	3	3
2025	0	0
2024	10	10
2023	7	7
2022	5	5
2021	4	4
2020	9	9

Topic-wise weightage by year

How many Differentiation questions each topic had in every JEE Main year (all shifts), counting every question asked, including ones not in the PDF. Darker cells mean more questions.

Topic	Asked	Share	2026	2025	2024	2023	2022	2021	2020
Higher Order Derivatives	16	42%	3	·	5	5	1	2	·
Implicit Differentiation	8	21%	·	·	·	1	1	1	5
Chain Rule	7	18%	·	·	2	1	1	1	2
Derivatives of Standard Functions	3	8%	·	·	2	·	·	·	1
Parametric Differentiation	3	8%	·	·	·	·	2	·	1
Product and Quotient Rule	1	3%	·	·	1	·	·	·	·
All topics	38	100%	3	0	10	7	5	4	9

Swipe the table sideways for older years.

Newest questions (2026)

All 3 JEE Main 2026 Differentiation questions in the free PDF, latest shift first.

JEE Main 2026 · 5 Apr · Shift 2 · Higher Order Derivatives

Let $f(x)$ and $g(x)$ be twice differentiable functions satisfying $f^{{''}}(x)=g^{{''}}(x)$ for all $x\in {\mathbf{R}},f^{{'}}(1)=2g^{{'}}(1)=4$ and $g(2)=3f(2)=9$ . Then $f(25)-g(25)$ is equal to :

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JEE Main 2026 · 4 Apr · Shift 1 · Higher Order Derivatives

If $y=\tan^{{-1}}\left(\frac{3\cos x-4\sin x}{4\cos x+3\sin x}\right)+2\tan^{{-1}}\left(\frac{x}{1+\sqrt{1-x^{2}}}\right)$ , then $\frac{dy}{dx}$ at $x=\frac{\sqrt{3}}{2}$ is equal to :

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JEE Main 2026 · 21 Jan · Shift 2 · Higher Order Derivatives

Let $f(x)=x^{3}+x^{2}f'(1)+2xf''(2)+f'''(3)$ , $x\in {\mathbb{R}}$ . Then the value of $f'(5)$ is :
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Sample questions from recent papers

JEE Main 2024 · 6 Apr · Shift 2 · Product and Quotient Rule

Suppose for a differentiable function $h, h(0)=0, h(1)=1$ and $h^{\prime}(0)=h^{\prime}(1)=2$ . If $g(x)=h\left(\mathrm{e}^x\right) \mathrm{e}^{h(x)}$ , then $g^{\prime}(0)$ is equal to:

(A)4
(B)5
(C)3
(D)8

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Answer: (A)

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JEE Main 2024 · 1 Feb · Shift 2 · Chain Rule

y=\frac{(\sqrt{x}+1)\left(x^2-\sqrt{x}\right)}{x \sqrt{x}+x+\sqrt{x}}+\frac{1}{15}\left(3 \cos ^2 x-5\right) \cos ^3 x

, then

96 y^{\prime}\left(\frac{\pi}{6}\right)

is equal to :

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Answer: 105

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JEE Main 2024 · 29 Jan · Shift 1 · Derivatives of Standard Functions

Suppose $f(x)=\frac{\left(2^x+2^{-x}\right) \tan x \sqrt{\tan ^{-1}\left(x^2-x+1\right)}}{\left(7 x^2+3 x+1\right)^3}$ . Then the value of $f^{\prime}(0)$ is equal to

(A) $\pi$
(B) $\sqrt{\pi}$
(C)0
(D) $\frac{\pi}{2}$

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Answer: (B)

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JEE Main 2023 · 6 Apr · Shift 1 · Implicit Differentiation

If $2 x^{y}+3 y^{x}=20$ , then $\frac{d y}{d x}$ at $(2,2)$ is equal to :

(A) $-\left(\frac{3+\log _{e} 16}{4+\log _{e} 8}\right)$
(B) $-\left(\frac{2+\log _{e} 8}{3+\log _{e} 4}\right)$
(C) $-\left(\frac{3+\log _{e} 8}{2+\log _{e} 4}\right)$
(D) $-\left(\frac{3+\log _{e} 4}{2+\log _{e} 8}\right)$

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Answer: (B)

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JEE Main 2022 · 28 Jul · Shift 2 · Parametric Differentiation

Let $x(t)=2 \sqrt{2} \cos t \sqrt{\sin 2 t}$ and

$y(t)=2 \sqrt{2} \sin t \sqrt{\sin 2 t}, t \in\left(0, \frac{\pi}{2}\right)$ .

Then $\frac{1+\left(\frac{d y}{d x}\right)^{2}}{\frac{d^{2} y}{d x^{2}}}$ at $t=\frac{\pi}{4}$ is equal to :

(A) $\frac{-2 \sqrt{2}}{3}$
(B) $\frac{2}{3}$
(C) $\frac{1}{3}$
(D) $\frac{-2}{3}$

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Answer: (D)

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The free PDF above has all 38 questions grouped by topic, with an answer key.

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Frequently asked

How many questions come from Differentiation in JEE Main?

38 questions from 2020 to 2026, about 5.4 per year. In 2026 it had 3.

Which Differentiation topics are most important for JEE Main?

By past papers: Higher Order Derivatives (42%), Implicit Differentiation (21%) and Chain Rule (18%) of all Differentiation questions.

Is the Differentiation PYQ PDF free?

Yes. The PDF and its answer key are free, and you can practise the questions online with no login, with step-by-step solutions where available.

Prefer to solve online? Practise Differentiation online with step-by-step solutions where available, or work through JEE Main papers shift by shift.

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JEE Main PYQs by year: 2026 · 2025 · 2024 · 2023 · 2022 · 2021 · 2020

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Answers follow NTA's final answer keys. Typing errors are possible, so check doubtful answers against the official key. Spotted a mistake? prepwiser.in/feedback · Terms: prepwiser.in/terms

Differentiation JEE Main PYQs PDF, 2020–2026

How often it's asked in JEE Main

How many questions from Differentiation in JEE Main, year by year

Most asked Differentiation topics, 2020–2026

Revise Differentiation before you practise

Send this chapter to your study group

Differentiation questions per year

Topic-wise weightage by year

Newest questions (2026)

Sample questions from recent papers

Practise these online, free, no login

Frequently asked

How many questions come from Differentiation in JEE Main?

Which Differentiation topics are most important for JEE Main?

Is the Differentiation PYQ PDF free?

More Mathematics chapters