Question

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

Answer 1

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)`