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Find the derivative of f(x)\, with respect to x\,: f(x)=\sin(\cos(\tan x))\,

Again, we have a chain rule inside of a chain rule.

f'(x)=\cos(\cos(\tan x)){\frac  {d}{dx}}\cos(\tan x)\,

f'(x)=\cos(\cos(\tan x))(-\sin(\tan x)){\frac  {d}{dx}}\tan x\,

f'(x)=\cos(\cos(\tan x))(-\sin(\tan x))(\sec ^{2}x)\,

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