Chain Rule With Exponential and Trig Functions

Differentiate $e^{2*x}$ first, then apply the derivative of sine directly without the proper chain rule for $\sin(u)$, and multiply by $2*x$

Identify the layers: outer $\sin(u)$, inner $e^{2*x}$, and innermost $2*x$; differentiate the outer function to get $\cos(e^{2*x})$; differentiate $e^{2*x}$ to get $2*e^{2*x}$; then multiply the derivatives

Differentiate $\sin(e^{2*x})$ and $e^{2*x}$ simultaneously, then multiply by 2 afterward, ignoring the nested structure

Treat $e^{2*x}$ as a constant, differentiate $\sin(u)$ directly, and then multiply by the derivative of $2*x$