How do you differentiate #f(x)=e^(sin(2/x)# using the chain rule.?

1 Answer
Deep
Apr 17, 2017

go from outside to inside.

Explanation:

first differentiate # e ^ sin(2/x) # then differentiate #sin(2/x) # and finally differentiate # (2/x) # .
so , differentiation of # e^x# is #e^x # ,
differentiation of # sinx # is # cosx# ,
differentiation of #2/x# is #-2/x^2# ,
# f'(x) = e^sin(2/x) * cos(2/x) * (-2/x^2) #

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