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Why is the derivative of inverse tan(x) 1/(1+x^2)?

This can be proven by understanding tan(x) and it's inverse as functions, using implicit differentiation, subsitution and by recognising trigonometric identities (or being able to prove them from first princ...
NG
Answered by Neel G. • Maths tutor
7033 Views

In what way is an English Language essay different to an English Literature essay at A Level?

One of the main things to remember when it comes to an A Level English Language essay is that you have a completely different aim to when you are writing an English Literature essay. Whilst during Lit essays...
EG
3686 Views

Simplify x^2 - 9x + 20

Firstly write out the equation x 2 - 9x + 20 = 0. The aim is to find two numbers that multiply to make 20 and add up to make -9. Look at the constant without any x's , in this case it is 20. We need to work ...
AM
Answered by Amrit M. • Maths tutor
6825 Views

How do enzymes react under different temperatures?

A graph would be drawn to show a steady incline to an optimum temperature and then a sharp decrease after the peak. As the temperature increases the enzyme and sustrate will have more kinetic energy and so e...
GE
Answered by Georgia E. • Biology tutor
3908 Views

Mike has 4 blue balls, 6 green balls and 10 yellow balls what is the probability that he will pick a yellow ball.

It would be worked out by adding 4+6+10 to get 20 and then it would be number of yellow balls over total number of balls which would be 10/20. Depending on ability this may then be simplified down to 1/2.
GE
Answered by Georgia E. • Maths tutor
2642 Views