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secondary 4 | A Maths
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Jason Lim
Jason Lim

secondary 4 chevron_right A Maths chevron_right Singapore

Help to differentiate pls

Date Posted: 3 years ago
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Eric Nicholas K
Eric Nicholas K's answer
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The first thing that we need to do is to recognise that y takes the form (something)^n where the “something” contains things in x (hence, we need to use chain rule later on) and n is a non-zero integer.

When we differentiate this, we bring down the power, then reduce the power by 1 and then use the chain rule and differentiate the “something” inside the brackets.

But that “something” here contains a fraction, so we use the quotient rule to do this. Note that product rule can also be used here, but we must modify our expressions slightly first.