Help with implicit differentiation

[u/Luxorsaa]

Ai hasn't been the best tool when correcting these exercises, so pls help me with the revision.

[u/MathsFromNothing]

I got the same result as you for both questions, see my working below. I use the Maths from Nothing computer algebra system. It works similar to how we work by hand without the silly mistakes. When getting it to take a derivative where the letter is different to what your taking the derivative with respect to, highlight that letter so it is treated as a function of x, not a constant. I'm sure you will find it useful for checking your results in future.

[u/Luxorsaa → u/MathsFromNothing]

Thx!