Compute the derivative of the function h(t)=3e^(t)csc(t). Express numbers in exact form and use symbolic notation. What is the derivative of h(t)?
a) h^(')(t)=3e^(t)csc(t)
b) h^(')(t)=3e^(t)cot(t)
c) h^(')(t)=3e^(t)sec(t)
d) h^(')(t)=3e^(t)csc(t)cot(t)