## anonymous 4 years ago I am asked to differentiate the function y=$\cot^{2}(\sin (x))$. Can anyone provide a step by step tutorial? I am having difficulties with applying the chain rule. If possible avoid using Liebniz notation. Thank you!

1. TuringTest

$f(x)=x^2$$g(x)=\cot x$$h(x)=\sin x$$D_x(f\circ g\circ h)(x)=(f'\circ g\circ h)(x)\cdot(g'\circ h)(x)\cdot h'(x)$$=2\cot(\sin(x))\cdot(-\csc^2(\sin x))\cdot\cos x$

2. TuringTest

any particular part of that giving you trouble?

3. anonymous

where did you get $-\csc ^{2}x \sin x$ from

4. anonymous

ok i got it now

5. anonymous

no thank you very much. i've spent way too much time trying to figure this out!