Please use the Derivative/CHAIN RULE to find the derivative of the original function. Please show step by step, don't just write the answer:

1. f(x)=1+cot2x

2. f(x)=sin(sin(ex))

3. f(x)=x+x

NOTE: Please write in this format:

For example if question is f(x) = (x+1)⁷:

g(x) = x⁷

h(x) = x +1

(gh)' = g'(h(x))*h'(x) = ((x+1)⁷)' = 7(x+1)⁶* 1 = 7(x+1)⁶[answer]

I WILL REPORT IF YOU DO FORMATTING DIFFERENTLY OR DONT SHOW STEP BY STEP