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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 differentiation on the l...
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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 experiment...
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Answered by Gemma B. • Psychology tutor
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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 a h...
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Answered by Alex D. • Maths tutor
5075 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 mean...
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Answered by Owen M. • Economics tutor
2526 Views

Write the number 0.0534 in standard form (1 mark)

5.34 x 10 -2
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Answered by Christopher T. • Maths tutor
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