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Find the derivative of the function f:(0,oo)->R, f(x)=x^x.

The domain of the function allows us to write f(x)=x x as f(x)=e ln(x ^x) =e x ln( x) (since ln(x) is defined on (0,oo) only). Using the standard derivative rules we get f'(x)=e x ln(x) (x ln(x))'=e x ln(x) ...
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Answered by Andrei R. • Maths tutor
3570 Views

How do you revise for the reading/listening test?

It may seem as though you are unable to revise for this section of the exam as you do not know what the questions will be, but there is in fact a lot you can do to prepare. My advice would be to write vocabu...
ET
Answered by Elinor T. • French tutor
2876 Views

How many quotes do I need to learn from (relevant book title)?

There is no right or wrong answer to the amount of quotes you need to learn. It's not about who can memorise the most words from the book, but rather who can understand and discuss the key themes in the book...
ET
Answered by Elinor T. • English tutor
2730 Views

How do I write an English Literature essay effectively?

Firstly, there are different types of essay. GCSE English Literature/Language essays will differ. Literature encourages you to write an argumentative essay. Key points to remember: 1 . It is important for an...
JH
11778 Views

Explain how ADH helps to maintain water homeostasis in humans.

ADH (antidiuretic hormone) is a hormone that targets the kidney. It triggers the insertion of aquaporins into the walls of the collecting duct. When the water concentration in the body is too low (high osmol...
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Answered by Sophie P. • Biology tutor
14197 Views