Differential Calculus?

Differential Calculus?



I am having some trouble with one of the questions in my homework and any help would ge greatly appreciated: 

Let f(x) = e^-3x and g(x) = sin(x-(π/3)) 

a) Write down 
i) f'(x): 
ii) g'(x): 

b) Let h(x) = e^-3x * sin(x-(π/3)). Find the exact value of h'(π/3): 


I believe f'(x) to be -3e^-3x but I am not sure about g'(x) and the last question I do not understand at all. 

Thank you in advance





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