Problems for you_澳门葡京手机版app下载

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2017-01-18T14:38:08.105Z
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Old exam problem sets, and the compendium, are found in the left margin link " Problems for seminars etc.". Please start doing a little bit of each of the following topics, and then on Tuesday we will discuss briefly what the first seminar should focus on:

Let f( x) = g(|| x||). What is the gradient of f, in matrix form?

General differentiation/integration drill for trig. functions:

Differentiate f(t) = tan t = sin t / cos t, and write the answer in two ways: one which has only "cos" (no sin nor tan) and one which has only "tan" (no sin nor cos).

From the previous point, you should be able to show that the derivative of arctan t is 1/(1+t^2).

Here is a one which you should not spend too much time on, but which shows the method of substitution in a way that might be a bit less familiar:
F...