Question: Let f(x) = cos 2 x + sin 2 x. a. Use the Chain Rule to show that f'(x) = 0. b. Assume that if

Let f(x) = cos² x + sin² x.
a. Use the Chain Rule to show that f'(x) = 0.
b. Assume that if f' = 0, then f is a constant function. Calculate f(0) and use it with part (a) to explain why cos² x + sin² x = 1.

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