Part 4/4:
To summarize, using the quotient rule provides a straightforward method for deriving the derivative of the tangent function. We started with the definition of tangent in terms of sine and cosine, applied the quotient rule, and utilized a key trigonometric identity to arrive at our conclusion. This technique not only emphasizes the derivative of ( \tan(x) ) but also reinforces the connection between trigonometric functions and their derivatives.
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