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Previous year question hub

Calculus - Mathematics Previous Year Questions

Practice Calculus - Mathematics previous year questions organised from real papers, with year-wise coverage and clear topic navigation.

11Papers
2Years
216Questions
1Topics

Calculus question pattern

Every graph below is calculated only from this selection.

Questions by year

Year-wise coverage for Calculus. Each bar uses a separate theme-derived color.

Difficulty distribution

How the classified questions are distributed by difficulty.

Not classified 216 100%

Question type distribution

MCQ, numerical, multiple-select and other formats found in these papers.

Multiple Choices 216 100%

Subject weightage

Top subjects by unique question coverage.

Mathematics
216 Qs

Most asked topics

Top topics across the included previous year papers.

Calculus
216 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Application Of Derivatives
55 Qs
Indefinite Integration
39 Qs
Limits Continuity And Differentiability
30 Qs
Differentiation
23 Qs
Differential Equations
21 Qs
Definite Integration
21 Qs
Functions
21 Qs
Area Under The Curves
6 Qs

Paper coverage

Question coverage for the most populated papers. Every active PYP paper remains listed below.

TG EAPCET 2025 ONLINE 4TH MAY EVENING SHIFT
24 Qs
TG EAPCET 2025 ONLINE 3RD MAY EVENING SHIFT
20 Qs
TG EAPCET 2025 ONLINE 3RD MAY MORNING SHIFT
20 Qs
TG EAPCET 2025 ONLINE 4TH MAY MORNING SHIFT
19 Qs
TG EAPCET 2025 ONLINE 2ND MAY EVENING SHIFT
17 Qs
TG EAPCET 2025 ONLINE 2ND MAY MORNING SHIFT
16 Qs
TG EAPCET 2024 (Online) 9th May Morning Shift
23 Qs
TG EAPCET 2024 ONLINE 9TH MAY EVENING SHIFT
22 Qs
TG EAPCET 2024 ONLINE 11TH MAY MORNING SHIFT
20 Qs
TG EAPCET 2024 ONLINE 10TH MAY EVENING SHIFT
19 Qs
TG EAPCET 2024 ONLINE 10TH MAY MORNING SHIFT
16 Qs

Browse by subtopics

Open a focused page built from the same verified paper data.

Included previous year papers

Newest papers appear first. Sort by year, question coverage or name.

PaperYear / sessionQuestions in this viewOpen
TG EAPCET 2025 ONLINE 2ND MAY EVENING SHIFT202517View paper
TG EAPCET 2025 ONLINE 2ND MAY MORNING SHIFT202516View paper
TG EAPCET 2025 ONLINE 3RD MAY EVENING SHIFT202520View paper
TG EAPCET 2025 ONLINE 3RD MAY MORNING SHIFT202520View paper
TG EAPCET 2025 ONLINE 4TH MAY EVENING SHIFT202524View paper
TG EAPCET 2025 ONLINE 4TH MAY MORNING SHIFT202519View paper
TG EAPCET 2024 (Online) 9th May Morning Shift202423View paper
TG EAPCET 2024 ONLINE 10TH MAY EVENING SHIFT202419View paper
TG EAPCET 2024 ONLINE 10TH MAY MORNING SHIFT202416View paper
TG EAPCET 2024 ONLINE 11TH MAY MORNING SHIFT202420View paper
TG EAPCET 2024 ONLINE 9TH MAY EVENING SHIFT202422View paper

Sample previous year questions

A varied preview from the papers represented in this selection, with every available option.

1
2024 · Mathematics · Calculus · Differential Equations
TG EAPCET 2024 ONLINE 10TH MAY EVENING SHIFT

The order and degree of the differential equation

$ \frac{d y}{d x}=\left(\frac{d^{2} y}{d x^{2}}+2\right)^{\frac{1}{2}}+\frac{d^{2} y}{d x}+5 \text { are respectively } $

A
2,1
B
2, 4
C
2,2
D
2,3
Open complete paper
2
2024 · Mathematics · Calculus · Differentiation
TG EAPCET 2024 ONLINE 10TH MAY MORNING SHIFT
If $\log y=y^{\log x}$, then $\frac{d y}{d x}=$
A
$\frac{y(\log y)^2}{x(1-\log x \log y)}$
B
$\frac{x(\log x)^2}{y(1-\log x \log y)}$
C
$\frac{x(1-\log x \log y)}{y(\log y)^2}$
D
$\frac{y(1-\log x \log y)}{x(\log x)^2}$
Open complete paper
3
2024 · Mathematics · Calculus · Differentiation
TG EAPCET 2024 ONLINE 11TH MAY MORNING SHIFT
A function $f: R \rightarrow R$ is such that $y f(x+y)+\cos m x y=1+y f(x)$. If $m=2$, then $f^{\prime}(x)=$
A
$-2 \sin 2 x y$
B
$4 x$
C
$\frac{2 \sin 2 x y}{y}$
D
$2 x^{2}$
Open complete paper
4
2024 · Mathematics · Calculus · Differentiation
TG EAPCET 2024 ONLINE 9TH MAY EVENING SHIFT
If $y=\frac{\tan x \cos ^{-1} x}{\sqrt{1-x^2}}$, then the value of $\frac{d y}{d x}$, when $x=0$ is
A
0
B
$\frac{\pi}{2}$
C
1
D
$\frac{\pi}{6}$
Open complete paper
5
2025 · Mathematics · Calculus · Limits Continuity And Differentiability
TG EAPCET 2025 ONLINE 2ND MAY EVENING SHIFT

If $f(x)=\frac{x\left(a^x-1\right)}{1-\cos x}$ and $g(x)=\frac{x\left(1-a^x\right)}{a^x\left(\sqrt{1-x^2}-\sqrt{1+x^2}\right)}$, then $\lim _{x \rightarrow 0}(f(x)-g(x))=$

A

$3 \log a$

B

$e^a$

C

$2 \log a$

D

$\log a$

Open complete paper
6
2025 · Mathematics · Calculus · Differentiation
TG EAPCET 2025 ONLINE 2ND MAY MORNING SHIFT

If $\left(x^2-3 x+2\right)^{\frac{y}{x^{2-1}}}=x+2$, then $\left(\frac{d y}{d x}\right)_{x=0}=$

A

2

B

-2

C

1

D

-1

Open complete paper