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How do I use the product rule for derivatives?

Imagine a function f(x)=g(x)*h(x) [that is, two functions multiplied together] To find the derivative, f'(x)=g'(x)*h(x) + g(x)*h'(x) For example, f(x) = (3x 2 )*(cos x ) [g(x)=3x 2 , h(x)=cosx] f'(x) = (6x) ...
JW
Answered by James W. • Maths tutor
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How would I structure a 'discuss' question?

Firstly I would breakdown a discuss question into two parts, outline and evaluate and then for each paragraph you should outline key studies and then evaluate them. You should structure each paragraph using ...
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Answered by Hannah C. • Psychology tutor
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How would you go about integrating a function which has an exponential and a cos/sin term?

For this type of integral you would need to use integration by parts twice. Remember this is where the integral of u*(dv/dx)=uv-(integral with respect to x)(v*(du/dx)). For example let's say you need to inte...
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Answered by Luke R. • Maths tutor
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Why is phenol more reactive than benzene?

Benzene is made from an aromatic ring consisting of 6 carbon atoms and 6 hydrogen atoms, with delocalised electrons in the centre. Phenol has an additional hydroxy (-OH) group on the ring, and the oxygen ato...
EL
Answered by Erin L. • Chemistry tutor
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Which test would you use to identify the difference between an aldehyde and a ketone? Explain your observations.

Tollens Reagent "silver mirror test". When added to the aldehyde, a silver mirror appears. When added to the ketone, nothing happens.This is because the Tollens Reagent oxidises the aldehyde, while...
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Answered by Rachel J. • Chemistry tutor
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