Eric Nicholas K's answer to Jason Lim's Secondary 4 A Maths Singapore question.
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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.
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.
Date Posted:
3 years ago