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Given that y=ln([2x-1/2x=1]^1/2) , show that dy/dx= (1/2x-1)-(1/2x+1)

y=ln([2x-1/2x=1]^1/2)- can be written as y= [0.5ln(2x-1)]-[0.5ln(2x+1)] due to laws of logs. Take first term -- (0.5ln(2x-1)) and substitute 2x-1 for u. so u=2x-1 and y=0.5lnu Now dy/du=1/2u and du/dx=2. to ...
SF
Answered by Sam F. • Maths tutor
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Comment on whether higher government spending will always increase inflation (6)

Inflation is the general increase of the price level within an economy. Government spending is a component of AD, therefore an increase to this component would cause AD to increase. The upward shift of AD wi...
SF
Answered by Sam F. • Economics tutor
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What is the difference between the sein-passive and the werden-passive?

Both the sein-passive and the werden-passive use a past participle. However the sein-passive uses the past participle as an adjective. For example; Die Wiese ist mit Blumen bedeckt translates as 'the meadow ...
HJ
Answered by Hannah J. • German tutor
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What is the difference between the use of the sein-passive and the werden-passive?

When using the sein passive, you are using the past participle of the verb as an adjective. For instance; Die Wiese ist mit Blumen bedeckt. This sentence uses the sein-passive and translates as 'the meadow i...
HJ
Answered by Hannah J. • German tutor
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A man travels 360m along a straight road. He walks for the first 120m at 1.5ms-1, runs the next 180m at 4.5ms-1, and then walks the final 60m at 1.5ms-1. A women travels the same route, in the same time. At what time does the man overtake the women?

In order to answer this question we will break it down into several pieces. Firstly, using physical arguments, can we narrow down which interval the man must overtake the women? After some thought, it must b...
JG
Answered by James G. • Maths tutor
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