Top answers

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
13877 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
83241 Views

How do I integrate 3^x?

First I would ask what have they tried, and see if any of their attempts are on the right track - and then guide them from there, if not: 3^x is quite a difficult form to deal with, so is there any other way...
JW
Answered by Josh W. • Maths tutor
27301 Views

Why do we need the constant of integration?

Say that we have a differentiated equation f'(x), and we want to find the orginal equation f(x) from this. We would have to use integration, as differentiation and integration are the reverse of each other. ...
EM
Answered by Eleanor M. • Maths tutor
6407 Views

What is the integral of x^2 + 3x + 7?

X 2 -> 2X 3X -> 3 7 -> 0 Therefore X 2 + 3X + 7 integrates to 2X + 3
RD
Answered by Rhys D. • Maths tutor
4489 Views