Web resources available

This quiz tests the work covered in the lecture on Computing Partial Derivatives and corresponds to Section 14.2 of the textbook Calculus: Single and Multivariable (Hughes-Hallett, Gleason, McCallum et al.).
There are more web quizzes at Wiley, select Section 2. This quiz was the same as the Section 1 quiz at 14/12/05.

There are some good examples of partial derivatives and some easy exercises at http://www.analyzemath.com/calculus/multivariable/partial˙derivatives.html and an explanation at http://www.ucl.ac.uk/Mathematics/geomath/level2/pdiff/pd3.html and more exercises at http://www.ucl.ac.uk/Mathematics/geomath/level2/pdiff/pd4.html.

Question 1

a)		and
b)		and
c)		and
d)		and

 

Not correct. Choice (a) is false.

Try again, remember to treat the ’s as a constant when differentiating with respect to and to treat the ’s as a constant when differentiating with respect to

Not correct. Choice (b) is false.

Try again, remember to treat the ’s as a constant when differentiating with respect to and to treat the ’s as a constant when differentiating with respect to

Your answer is correct.

Not correct. Choice (d) is false.

Try again, remember to treat the ’s as a constant when differentiating with respect to and to treat the ’s as a constant when differentiating with respect to

Question 2

a)		and
b)		and
c)		and
d)		and

 

Your answer is correct.

You have correctly used the product rule when differentiating with respect to and

Not correct. Choice (b) is false.

Try again, you must use the product rule to differentiate with respect to and regard as a constant when you differentiate with respect to

Not correct. Choice (c) is false.

Try again, you have not differentiated correctly with respect to either variable.

Not correct. Choice (d) is false.

Try again, you must use the product rule to differential with respect to and regard as a constant when you differentiate with respect to

Question 3

a)		and
b)		and
c)		and
d)		and

 

Question 4

a)		and
b)		and
c)		and
d)		and

 

Not correct. Choice (a) is false.

Try again, using the quotient rule.

Not correct. Choice (b) is false.

Try again, recall

Not correct. Choice (c) is false.

Try again, you have not differentiated correctly.

Your answer is correct.

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and

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