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Given y = 2x(x^2 – 1)^5, show that dy/dx = g(x)(x^2 – 1)^4 where g(x) is a function to be determined.

y=2x(x²-1)⁵dy/dx= 2(x²-1)⁵ + 2x*10x(x²-1)⁴dy/dx=(x²-1)⁴(2x²-2+20x²)dy/dx=(x²-1)

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What is the core periphery model?

The core-periphery model is one used to describe the globalised world. A country with many international political, economic and social interactions is considered core. E.g UK. Whilst a country with limit...

Answered by Sebastian W. • Geography tutor

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How would I go about structuring a 15 mark answer in A2 Politics

The key way to go about structuring a 15 marker is to divide your answer into three sections, this allows you to cover a wide range of points that the question is looking for without spending too much tim...

Answered by James B. • Government and Politics tutor

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A small stone is projected vertically upwards from a point O with a speed of 19.6m/s. Modelling the stone as a particle moving freely under gravity, find the length of time for which the stone is more than 14.7 m above O

We want to find out the time during which the stone is above a certain point. As this stone is thrown upwards we know that the first time it passes this point it will be on its way up and when it passes t...

Answered by Aaron G. • Maths tutor

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Write √ 45 in the form a √ 5, where a is an integer.

You can separate any surd into factors of the number that is being square rooted, for example when you have a surd such as √ 12 it can be rewritten as √ 2 X √ 6 or √ 3 X √ 4. This is very useful when we w...

Answered by Aaron G. • Maths tutor

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