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Can you give an example of using the chain rule for differentiation? Example: Let y=(6 + 2x + 2x^2)^3, find dy/dx.

The chain rule is given by dy/dx= (dy/du)(du/dx). If we set u=6+2x+2x 2 then, y=u 3 thus, dy/dx=(3u 2 )(2+4x) = (3(6+2x+2x 2 ) 2 )(2+4x). Example does not ask to simplify expression or evaluate at any partic...
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Answered by Anthony H. • Maths tutor
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Explain what Fartlek Training is and give an advantage and disadvantage of this type of training.

Fartlek Training is a type of continuous training that involves varying speeds, inclines and terrains meaning intensity changes throughout the workout. It is used mainly by games players e.g. HockeyAn advant...
JB
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Explain what is meant by a negative externality and give an example of a negative externality that arises from fuel consumption.

A negative externality is a spillover cost affecting a third party from an economic transaction.A negative externality that arises from fuel consumption is the air pollution affecting the health of the popul...
JB
Answered by Jessica B. • Economics tutor
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Describe the movement of ions, and changes in potential, across the nerve cell membrane during depolarisation and repolarisation.

During depolarisation, sodium ions move into the cell, resulting in the membrane potential rising from -70 millivolts (mV) to +40mV.During repolarisation, potassium ions move out of the cell, and the membran...
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Answered by William P. • Biology tutor
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Solve x^2 - 5x - 14 = 0

This is an example of a quadratic equation which we can solve on of two ways as it takes the form ax^2 + bx - c = 0a = 1, b = -5, c = -14 (1) Factorisation which we can do ourselves OR (2) Use the quadratic ...
JB
Answered by Jessica B. • Maths tutor
9479 Views