Differentiation Problems (attached)

Question

anonymous · Answer

Been at these three questions for a a day now, but no success in getting to the answers shown by Wolfram. Any help appreciated.

hsjkirribilli266199 · Answer

look up youtube for that...

alekos · Answer

OK. these look fairly involved. give me a minute or two

anonymous · Answer

Use chain rule

anonymous · Answer

So what I am supposed to find ? 
Solve for x or y ?? Or what

p0sitr0n · Answer

$$\frac{\delta y} {\delta x} = \frac{ \delta y}{\delta z}\frac { \delta z} {\delta x}$$

alekos · Answer

for the first one I get 
$$\log_{3} [e^{(\ln3)sinx}] + xcosx$$

alekos · Answer

Is that what wolfram comes up with?

alekos · Answer

I've just realised that 

$$\log_{3}[e^{(\ln3)sinx}]  $$  is just sinx

alekos · Answer

so the answer is sinx + xcosx

alekos · Answer

well?

alekos · Answer

when I get your response for the 1st answer, I'll give you the 2nd

anonymous · Answer

all 3 solved

alekos · Answer

1 & 2 look good but I think you're way off track with 3

anonymous · Answer

Thanks for taking the time to help me out guys...wolfram shows q1 to be:

anonymous · Answer

I have since moved on to other problems, but will revisit these tonight or tomorrow, as they are problems carrying marks in my course.

irishboy123 · Answer

in the 3rd one, just "undo" the tan and it is straightforward.

2 arctan xy + x = 3
arctan xy = (3-x)/2
xy = tan (3-x)/2
y = (1/x) tan (3-x)/2

then product rule.  done.

anonymous · Answer

I've solved question 3 as attached. Thanks for the help guys.

alekos · Answer

Q3 solution is spot on

alekos · Answer

Wolfram q1 
2nd term reduces to sinx