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.

Topic practice 4 questionsPage 1 of 1

Question 21

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CHMCQ1 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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Question 53

Open question
CHNAT2 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 ______

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Question 44

Open question
CHNAT2 marksNeeds review
The directional derivative of

at the point

in the direction of the vector

is __________ (rounded off to two decimal places).

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Question 34

Open question
CHNAT2 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).

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