how do you take the derivative of x^cos(x)

Question

do it non implicitly

Answer 1

for x^(cos (x)) use the chain rule

derivative of x^n = n x^(n-1) then chain rule says to multiply by the derivative of n

so cos(x) * x ^(cosx -1) * sin(x)

sin(x)cos(x) * x^(cosx -1)