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do you know how to find the derivative of a function that looks simple at first glance but quickly becomes mind-bending? 🤯 this function is a tower of exponentials, and differentiating it is a perfect test of how well you really understand the chain rule. 👉 pause the video and try to find on your own. each exponential layer depends on the one inside it, so every step triggers another chain rule application. missing even one layer gives a completely wrong answer. 🧠 this problem shows: how nested functions behave under differentiation why exponential functions grow insanely fast how the chain rule compounds multiplicatively why visualizing derivatives makes learning calculus easier 💡 in the related full video, i derive the answer step by step, visually peeling each exponential layer using animations so you can see the calculus instead of memorizing formulas. 👇 comment your final derivative, or comment how many chain rule layers you counted. can you handle all five? 😈 #math #calculus #derivative #chainrule #exponentialfunctions #nestedfunctions #differentiation #mathtips #advancedcalculus #mathchallenge #mathshorts #learncalculus #visualmath #functionderivatives #highermathematics #manimanimation