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What is dy/dx when y=ln(6x)?

This is a common question on A2 Maths papers as it tests both the ability to use the chain rule and the ability to differentiate natural logarithms. y = ln(6x) Alarm bells should start ringing whenever a que...
EM
Answered by Eleanor M. • Maths tutor
13749 Views

Using mathematical induction, prove De Moivre's Theorem.

De Moivre's theorem states that (cosø + isinø) n = cos(nø) + isin(nø). Assuming n = 1 (cosø + isinø) 1 = cos(1ø) + isin(1ø) which is true so correct for n = 1 Assume n = k is true so (cosø + isinø) k = cos(k...
SE
Answered by Scott E. • Maths tutor
82999 Views

When should you use the imperfect and when the "passé composé" while narrating an episode in the past?

This is one of the trickiest aspects of learning how to use verbs in French, since English often lacks the clear distinction between the imperfect (in French expressed with verb forms with endings like '- ai...
BS
Answered by Bennett S. • French tutor
2984 Views

Why does fractional distillation work?

Fractional distillation relies on different fractions in the organic mixture having different boiling points. The difference in these boiling points could be caused by several things but the main determinant...
RJ
Answered by Rahul J. • Chemistry tutor
18159 Views

Explain why diffusion is an important process in plants and animals.

Diffusion is the movement of molecules from an area of high concentration to an area of low concentration down a concentration gradient. Lots of essential processes rely on this movement such as the diffusio...
RJ
Answered by Rahul J. • Biology tutor
23349 Views