Computer Science and Information Technology
GATE CSE topic:calculus PYQs
Build your understanding with focused practice from past exam papers.
How to practice topic:calculus
Attempt a question, record the concept and assumptions, then check the available answer. Rework mistakes after revising the relevant concepts. Topic tags can overlap; review the question context.
Questions 1–10 of 13. Imported answers require independent review unless marked reviewed.
Question 12
Open questionCSMCQ1 markNeeds review
The value of
such that
, satisfying the equation
isYour answerChoose one option.
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Open questionCSNAT1 markNeeds review
Consider the given function
.
If the function is differentiable everywhere, the value of
must be ______. (rounded off to one decimal place)Log in to check the answer
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Open questionCS1MCQ1 markNeeds review
Let
be a function such that
,
, where
is the set of all real numbers. The set of all points where
is NOT differentiable isYour answerChoose one option.
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 16
Open questionCSMCQ1 markNeeds review
Let
be a continuous function from
to
such that
Which one of the following options is the CORRECT value of
?Your answerChoose one option.
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 28
Open questionCSMSQ1 markNeeds review
Let
be a real-valued function. Which of the following statements is/are TRUE?Your answerSelect all correct options. You can choose more than one.
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Open questionCSNAT1 markNeeds review
The value of the definite integral
is _____. (Rounded off to the nearest integer)Log in to check the answer
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Open questionCSNAT1 markNeeds review
Consider the following expression.
The value of the above expression (rounded to 2 decimal places) is ________.Log in to check the answer
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Open questionCSNAT1 markNeeds review
Suppose that
is a continuous function on the interval
and a differentiable function in the interval
such that for every
in the interval,
. If
, then
is at most ________.Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 1
Open questionCSMCQ1 markNeeds review
Consider the functions
I.
II.
III.
Which of the above functions is/are increasing everywhere in [0,1]?
Your answerChoose one option.
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Open questionCSMCQ1 markNeeds review
Compute
Your answerChoose one option.
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