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Previous year question hub

Differentiation - Calculus - Mathematics Previous Year Questions

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

2Papers
2Years
4Questions
1Topics

Differentiation question pattern

Every graph below is calculated only from this selection.

Questions by year

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

Difficulty distribution

How the classified questions are distributed by difficulty.

Not classified 4 100%

Question type distribution

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

Multiple Choices 4 100%

Subject weightage

Top subjects by unique question coverage.

Mathematics
4 Qs

Most asked topics

Top topics across the included previous year papers.

Calculus
4 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Differentiation
4 Qs

Paper coverage

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

VITEEE 2024
2 Qs
VITEEE 2021
2 Qs

Included previous year papers

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

PaperYear / sessionQuestions in this viewOpen
VITEEE 202420242View paper
VITEEE 202120212View paper

All Differentiation previous year questions

Practice every matching question in batches of 20, with every available option.

1
2021 · Mathematics · Calculus · Differentiation
VITEEE 2021

If \(y=1+\frac{x}{1 !}+\frac{x^2}{2 !}+\frac{x^3}{3 !} \ldots\), then \(\frac{d y}{d x}\) is equal to

A
\(e^x\)
B
\(\sin x\)
C
y
D
x
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2
2021 · Mathematics · Calculus · Differentiation
VITEEE 2021

The value of \(\frac{d}{d x}\left(x^n \log _a x e^x\right)\) is

A
\(e^x \log _a x+\frac{x^{n-1}}{\log _e a}\)
B
\(e^x x^{n-1}\left\{x \log _a x+\frac{1}{\log _e a}+n \log _a x\right\}\)
C
\(n x^{n-1} \log _a x e^x\)
D
\(x^n \log _a x \cdot e^x\)
Open complete paper
3
2024 · Mathematics · Calculus · Differentiation
VITEEE 2024

If $(\cos x)^y=(\sin y)^x$, then $\frac{d y}{d x}$ equals

A
$\frac{\log \sin y-y \tan x}{\log \cos x+x \cot y}$
B
$\frac{\log \sin y+y \tan x}{\log \cos x-x \cot y}$
C
$\frac{\log \sin y+y \tan x}{\log \cos x+x \cot y}$
D
$\frac{\log \sin y+y \tan x}{\log \cos y-y \cot x}$
Open complete paper
4
2024 · Mathematics · Calculus · Differentiation
VITEEE 2024

If the curves $\frac{x^2}{a}+\frac{y^2}{4}=1$ and $y^3=16 x$ intersect at right angles, then ' $a$ ' equals to

A
$\frac{3}{4}$
B
$\frac{1}{2}$
C
$\frac{4}{3}$
D
$2$
Open complete paper