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Differentiate the function f(x) = sin(x)/(x^2 +1) , giving your answer in the form of a single fraction. Is x=0 a stationary point of this curve?

The key concepts to apply in this question will be the product and chain rules, namely: if f(x)=g(x)h(h), then f'(x)=g(x)h'(x) + g'(x)h(x), and if h(x)=u(v(x)), then h'(x)=u'(v(x))v'(x). Equivalently, you ma...
BC
Answered by Bromlyn C. • Maths tutor
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To what extent do males and females display cooperation and competition in same sex interactions to prove dominance?

Over many years, language has been categorised on the basis of gender suggesting that 'Men are from Mars and Women are from Venus'; a view adopted by John Gray. Difference theorists like Jane Pilkington advo...
HJ
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How do I write a conclusion in a timed essay that will be time effective and achieve top marks?

A conclusion is a summary of the key arguments that have been presented throughout the essay. It is the last part of your essay that an examiner will read and so it's vital to conlude and answer the question...
IJ
Answered by Isabel J. • English tutor
2884 Views

Show that: [sin(2a)] / [1+cos(2a)] = tan(a)

We start by expanding out the double trigonometric terms (sin(2a)) using the double angle formula, giving us: [2sin(a)cos(a)] / [1+cos^2(a) - sin^2(a)]. Next we spot that on the denominator (bottom half of f...
GH
Answered by George H. • Maths tutor
10220 Views

Why doesn't chlorine form hydrogen bonds even though it is more electronegative than nitrogen?

Chlorine has a higher electronegativity, but as it has a large atomic radius the electron density is spread out over a large area. This means that the electron density is too low to form proper hydrogen bond...
CL
Answered by Callum L. • Chemistry tutor
20433 Views