Search our library of homework questions

Top answers

All subjects

All levels

Show that the derivative of tan(x) is sec^2(x), where sec(x) is defined as 1/cos(x). [Hint: think of tan(x) as a quotient of two related functions and apply the appropriate identity]

tan(x) is defined as sin(x)/cos(x) For a function which can be written as f(x) = u(x)/v(x) the quotient rule can be appliedThe quotient rule states f ' (x) = (u'v-v'u)/v^2 Applying this to the formula for...

Answered by Oliver C. • Maths tutor

3291 Views

How do I make my answers more analytical?

In school, we are often taught to write paragraphs with a 'PEE' (Point, Evidence, Explain) structure. However, at GCSE level we need to go beyond this and use 'PEEAL' (Point, Evidence, Explain, Analyse, L...

Answered by Catriona D. • English Language tutor

1805 Views

Could you explain the structure of the plasma membrane to me? (A level)

The cell membrane, also known as plasma membrane, you will know from GCSE is a feature of both animal and plant cells that helps contain cellular contents and control entry and exit of substances from the...

Answered by Rita H. • Biology tutor

2343 Views

Horizontal gene transfer is a mechanism that allows bacteria to genetic information between cells. Describe this process.

Bacteria have a singular, large, circular chromosome and can have many smaller circular DNA-containing structures called plasmids. Bacterial cells that are in close proximity can form a connective bridge,...

Answered by Benjamin M. • Biology tutor

1129 Views