Implicit Differentiation

[three3985]

Hello all,

I just want to check whether if my workings and answer are correct.

Cheers.

 

[Dr.Peterson]

Hello all,

I just want to check whether if my workings and answer are correct.

Cheers.

View attachment 25571

Just check the parentheses in the final line (and you could simplify a bit if you choose).

 

[three3985]

Just check the parentheses in the final line (and you could simplify a bit if you choose).

Thank you for replying. I don't quite get your response. Do you mean I should present the last line as such?

 

[Dr.Peterson]

Thank you for replying. I don't quite get your response. Do you mean I should present the last line as such?

View attachment 25574

That's a very important difference, isn't it?

And if you want, you could make it \(y'=2(3x)^{2x}[1+\ln(3x)]\). If the 3 had actually been as you wrote it, this would be a bigger simplification, as you'd have a 6; but it isn't.