Question: Let's try a tricky example.(a) Consider the function y=cos4(sec(3)). How many iterations of the chain rule will you need toapply to differentiate?(b) Compute dd[cos4(sec(3))].(c) Consider

Let's try a tricky example.(a) Consider the function y=cos4(sec(3)). How many iterations of the chain rule will you need toapply to differentiate?(b) Compute dd[cos4(sec(3))].(c) Consider y={:tan(sin(cos(sec(2x-1)-3))))2. How many times would you need to use the chainrule to differentiate?(d) Don't actually differentiate this monster, but think about what the derivative would look like. Thisexample provides a demonstration of why we call it the "chain rule". In1-2 complete sentences,explain why you think we call it the chain rule.

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