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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.

3Papers
3Years
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.

BITSAT 2024
1 Qs
BITSAT 2021
1 Qs
BITSAT 2020
2 Qs

Included previous year papers

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

PaperYear / sessionQuestions in this viewOpen
BITSAT 202420241View paper
BITSAT 202120211View paper
BITSAT 202020202View paper

All Differentiation previous year questions

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

1
2020 · Mathematics · Calculus · Differentiation
BITSAT 2020

Let f(x) be a polynomial function of second degree. If f(1) = f(\(-\)1) and a, b, c are in AP, then f'(a), f'(b) and f'(c) are in.

A
AP
B
GP
C
Arithmetic-Geometric progression
D
None of the above
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2
2020 · Mathematics · Calculus · Differentiation
BITSAT 2020

Given that \(f(x) = 2{x^3} + {x^4} + \log x\) and assuming g to be the inverse function of f, compute the value of g'(3).

A
\({1 \over 9}\)
B
\({1 \over 7}\)
C
\({1 \over 11}\)
D
\({1 \over 8}\)
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3
2021 · Mathematics · Calculus · Differentiation
BITSAT 2021

If \(y = \sin \left( {2{{\tan }^{ - 1}}\sqrt {{{1 - x} \over {1 + x}}} } \right)\), then \({{dy} \over {dx}}\) is :

A
1
B
\(-\)1
C
\({x \over {\sqrt {{x^2} - 1} }}\)
D
\({{ - x} \over {\sqrt {1 - {x^2}} }}\)
Open complete paper
4
2024 · Mathematics · Calculus · Differentiation
BITSAT 2024
If $ x \sqrt{1+y}+y \sqrt{1+x}=0 $, then $ \frac{d y}{d x}= $
A
$\frac{x+1}{x} $
B
$\frac{1}{1+x} $
C
$\frac{-1}{(1+x)^{2}} $
D
$\frac{x}{1+x} $
Open complete paper