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'Find the first derivative, with respect to x, of arctan(1/x) for non-zero real x. Hence show that the value of arctan(x)+arctan(1/x) is constant for all non-zero x, explicitly stating this constant in your final answer.' How do I solve this?

I have linked the solution to this problem here.

https://www.icloud.com/iclouddrive/0mLKDeFREhbvTJm6D09jFakcw#Solution

2424 Views

Why is scarlet fever, caused by Streptococcus bacteria, more common in children than adults?

Adults are exposed to the toxin as a child, which initiates an immune response. B lymphocytes are produced and release antibodies which bind to the specific toxin and destroy it as part of the humoural im...

Answered by Amelia D. • Biology tutor

2890 Views

When is the subjunctive tense required in French?

The French subjunctive tense/mood is required when expressing cases of doubt, necessity or emotion. For example, "Je veux que tu gagnes" (I hope that you win), "Il faut que tu sois à l'heur...

Answered by Georgia W. • French tutor

1590 Views

What's the difference between 'avoir' and 'être' verbs?

When conjugating a verb (i.e. when we work out that the verb avoir is in these forms: j'ai, tu as, il/elle/on a, nous avons, vous avez, ils ont, that is the same thing as conjugating the verb) in the perf...

Answered by Georgia W. • French tutor

2725 Views

"dux Gallorum timebat ne Romani viros collem ascendentes audirent." How would I go about translating this sentence?

1) Read the whole sentence first so that you can get a sense of what to expect e.g. 2 verbs (timebat and audirent), 1 present participle (ascendentes), a fearing clause anticipating a sub...

Answered by Seran A. • Latin tutor

2693 Views