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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)] / v²We have: u(x) = x⁴ - 1, hence u'(x) = 4x³v(x) = x⁴ + 1, hence v'(x) = 4x³So we have: [(4x...

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 involv...

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

Answered by • Human Biology tutor

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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...

Answered by Reece L. • Classical Civilisation tutor

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i) Convert 01101001 from binary to denary. ii) Convert 27 from denary to hexadecimal. ii) State one use of hexadecimal in computing and why it is more beneficial in this application that binary.

i) 01101001₂ = 105₁₀ii) 27₁₀ = 1B₁₆iii) Colour codes, MAC addresses, memory locations, many others.The main advantage of hexadecimal over a number system like b...

Answered by Shafaan J. • Computing tutor

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