/log(x)\ cos|------| \log(2)/
cos(log(x)/log(2))
Let .
The derivative of cosine is negative sine:
Then, apply the chain rule. Multiply by :
The derivative of a constant times a function is the constant times the derivative of the function.
The derivative of is .
So, the result is:
The result of the chain rule is:
Now simplify:
The answer is:
/log(x)\ -sin|------| \log(2)/ ------------- x*log(2)
/log(x)\ cos|------| \log(2)/ /log(x)\ - ----------- + sin|------| log(2) \log(2)/ --------------------------- 2 x *log(2)
/log(x)\ /log(x)\ sin|------| 3*cos|------| /log(x)\ \log(2)/ \log(2)/ - 2*sin|------| + ----------- + ------------- \log(2)/ 2 log(2) log (2) --------------------------------------------- 3 x *log(2)