How to prove $f(x+iy)=\exp(\sin(y)+\sinh(y))$ is continuous in $\mathbb{C}$ but not differentiable in any point of $\mathbb{C}$?

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How to prove $f(x+iy)=\exp(\sin(y)+\sinh(y))$ is continuous in $\mathbb{C}$ but not differentiable in any point of $\mathbb{C}$?

I can't find any relation to solve this problem. This is my first time in complex analysis course and i have no idea what to do.