Respuesta :

syed514
y=cos(x)^(x) 

Applying log on both sides
ln(y)=xln[cos(x)] 

Differentiating w.r.t x 
dy/dx/y=ln[cos(x)] d/dx 1 + x d/dx 1/(cos(x)) d/dx -sin(x) 
dy/dx=cos(x)^x[ln[cos(x)] -xtan(x)]

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