See Khir Zulkifli's answer to Sonia's Junior College 1 H2 Maths Singapore question

Khir Zulkifli's answer to Sonia's Junior College 1 H2 Maths Singapore question.

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Hi I have given a helping hand by solving 2 questions. For implicit differentiation if it’s d/dx(dy/dy) you will just get the second order of differentiation so it’s d^2y/dx^2.

Date Posted: 4 years ago

Comments 6 add a comment

4 years ago

d/dx (dy/dx) rather than d/dx (dy/dy)

Khir Zulkifli

4 years ago

Yup a mistake there! Sorry my bad, Thanks!

4 years ago

No worries, just helping

Eric Nicholas K

4 years ago

A number of my Sec 4 students think that dy/dx (dy/dx) is no different from d/dx (dy/dx). When they started learning it they did not think that it would actually be different. It’s not that explicitly taught in Sec 4.

4 years ago

It is important to recognise that d/dx is an operator, not a fraction

4 years ago

dy/dx means the operator has been applied on y already. Hence dy/dx (dy/dx)
Is simply (dy/dx)²

Whereas d/dx (dy/dx) is an operation on the first derivative. This leads to the second derivative which is represented by d²y/dx² (also can be seen to be applying the operator twice on y itself).

Teachers should have made this clear in O level teaching.