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Given f(x) = (x^4 - 1) / (x^4 + 1), use the quotient rule to show that f'(x) = nx^3 / (x^4 + 1)^2 where n is an integer to be determined.

QUOTIENT RULE: [u(x) / v(x)]' = [u'(x)v(x) - u(x)v'(x)] / v 2 We have: u(x) = x 4 - 1, hence u'(x) = 4x 3 v(x) = x 4 + 1, hence v'(x) = 4x 3 So we have: [(4x 3 ) (x 4 + 1) - (4x 3 ) (x 4 - 1)] / (x 4 + 1) 2 ...
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Answered by Thomas A. • Maths tutor
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Outline the structures and processes involved in synaptic transmission (6 marks)

Unlike within a neuron where signals are transmitted electrically , between two different neuron's signals are transmitted chemically, as the impulse travels across a synapse. Synaptic transmission involves ...
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Answered by Lydia F. • Psychology tutor
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Which of the following is an exchange vessel? A. Capillary B. Elastic artery C. Lymphatic D. Muscular artery E. Vein

A. Capillary
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How effectively does Pericles try to win the support of the Athenian people in this passage? AQA 2018

Passage is Thucydides 2.61. ‘If one has a free choice and can live undisturbed, it is sheer folly to go to war. But suppose the choice was forced upon one – submission and immediate slavery or danger with th...
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What did the Meselson and Stahl experiment show?

DNA replication was thought to be either conservative (two old strands of DNA stay together), semi-conservative (one old and one new strand of DNA), or dispersive (bit of old and newly replicated DNA in each...
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Answered by Ciara L. • Biology tutor
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