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Given y=arctan(3e^2x). Show dy/dx= 3/(5cosh(2x) + 4sinh(2x))

As we cannot immediately differentiate inverse tan we take tan of both sides giving us tan(y)=3e^2x.We then differentiate with respect to x, however this must be done using implicit differentia...

Answered by Matt S. • Further Mathematics tutor

6084 Views

What are Type I and Type II errors?

A Type I error is when the null hypothesis is incorrectly rejected. The null hypothesis states that there is no relation between the independent variable and the dependent variable. This means the experim...

Answered by Gemma B. • Psychology tutor

4697 Views

Sketch the curve y = (2x-1)/(x+1) stating the equations of any asymptotes and coordinates of the intersection with the axis. As an extension, what standard transformations from C1 could you use on y=1/x to get this curve?

A good way to start with any of these questions is to guess what type of curve this is, and if that is too difficult then the next best thing is to find some points. In this case it is obvious that it is ...

Answered by Alex D. • Maths tutor

4487 Views

What is the effect of reducing interest rates on a currency’s exchange rate?

‘Interest rates’ refer to the return on savings and cost of borrowing in a country. If interest rates were to fall in a country, such as the UK, it would become less profitable to save money there. This m...

Answered by Owen M. • Economics tutor

2194 Views

Differentiate x^3 + 6x + 1

Though you are required to understand differentiating from first principles for the exam, questions such as this become quite straightforward once you know the trick.
To differentiate all you have to...

Answered by Myles J. • Maths tutor

3478 Views