Claculus Qs?

Question

Find the domain of the function.
h(x) = sqrt(x-2)-log5(10-x)

Differentiate the function
y=cos(e^(Pi(x))

working out would be preferred thanks

Answer 1

x must be >=2, else h(x) becomes imaginary.
x must be < 10 else log(10-x) is undefined.
Hence domain is 2=< x < 10 or [2,10).

y' = -pisin(e^(pix))