Chemical Engineering
GATE CH concept:directional-derivatives PYQs
Build your understanding with focused practice from past exam papers.
How to practice concept:directional-derivatives
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 1–4 of 4. Imported answers require independent review unless marked reviewed.
Question 21
Open questionCHMCQ1 markNeeds review
A two-dimensional temperature profile is given as
. If
and
are the unit vectors along x and y directions, respectively, which one of the following is the directional derivative of T at the location
?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 53
Open questionCHNAT2 marksNeeds review
Consider the function
. The directional derivative of the function at the point
along
, where
and
are unit vectors in the x and y directions, respectively, rounded off to 2 decimal places, is ______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 44
Open questionCHNAT2 marksNeeds review
The directional derivative of
at the point
in the direction of the vector
is __________ (rounded off to two decimal places).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 34
Open questionCHNAT2 marksNeeds review
If
,
and
are directions in a Cartesian coordinate system and
,
and
are the respective unit vectors, the directional derivative of the function
at the point
in the direction
is __________ (rounded off to two decimal places).Log in to check the answer
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