Eric Nicholas K's answer to Kathy's Secondary 4 A Maths Singapore question.

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Eric Nicholas K
Eric Nicholas K's answer
5997 answers (Tutor Details)
(i) and (ii), simplified
Eric Nicholas K
Eric Nicholas K
4 years ago
I will not do part (iii) here. One look and we can tell that squaring dy/dx will not get you d2y/dx2.
Eric Nicholas K
Eric Nicholas K
4 years ago
In this case the numerator happens to be simplifiable. In most cases, however, we do not need to expand and simplify the terms (recall that I did not simplify until very detailed in the regular quotient rule questions last week).
Eric Nicholas K
Eric Nicholas K
4 years ago
I like to do long division here, as I am more or less confident that the expression becomes more easily differentiable.
Kathy
Kathy
4 years ago
Ok . Thank you