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For this case we must indicate the cosine of A, of the figure shown. By definition:
Substituting the values we have:
So, we have to:
Answer:
Option D
If you're just starting calculus, perhaps you're asking about using the definition of the derivative to differentiate .
We have
Expand the numerator using the binomial theorem, then simplify and compute the limit.
In general, the derivative of a power function is
. (This is the aptly-named "power rule" for differentiation.)