Question

Find the derivative of f(x)=e^(sin(1))+(sin(1))^x.

Answer 1

f(x)=e^(sin(1))+(sin(1))^x

f'(x)=d(e^(sin(1)))/dx + d((sin(1))^x)/dx
=0 + sin(1)^x*ln(sin(1)
=sin(1)^x*ln(sin(1))

Note:
let y=a^x
ln(y) = xln(a)
y'/y = ln(a)
y'=y*ln(a)=(a^x)ln(a)