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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

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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

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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

2345 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