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How do I use product rule when differentiating?

Problems like this usually look something like: Find the differential of (x 2 e 2x ). The product rule is used when we have to differentiate two different functions multiplied by eachother, so we should alwa...
JK
Answered by Jasvir K. • Maths tutor
3798 Views

In the case of vectors, how do I find the shortest distance between a point and a line?

The key word in the question is 'shortest'. The shortest distance from a point to a line is always the perpendicular distance. If we calculate the appropriate angles and lengths/distances, we can use trigono...
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Answered by Saskia K. • Maths tutor
6957 Views

Binomial expansion of (1+4x)^5 up to x^2

This question can be treated like a normal binomial expansion question which is commonly seen at A level. The standard binomial expansion is (1+x) n = 1 + nx + (n(n-1)(x 2 ))/2! where 2! is 2 factorialSo in ...
KI
Answered by Katherine I. • Maths tutor
5555 Views

Describe the effects of nitrogen and phosohorus fertiliser leaching into a lake

This will cause eutrophication. Under normal circumstances, nutrients are a limiting factor for algal growth. When the fertiliser leaches into the lake, the excess nutrients will therefore allow algae at the...
AR
Answered by Alasdair R. • Biology tutor
4610 Views

What is the difference between HTML, CSS and JavaScript

HTML, CSS and JavaScript are the building blocks of the internet which are used to build all the websites around. HTML, or Hyper Text Markup Language, defines the layout of a webpage (where the headings go, ...
DJ
3065 Views