Calculus Explained: Derivative of Inverse Tangent Function [𝑡𝑎𝑛^(−1)⁡((𝑎+𝑏𝑥)/(𝑎−𝑏𝑥))]

Question:
Find the derivative of y=[𝑡𝑎𝑛^(−1)⁡((𝑎+𝑏𝑥)/(𝑎−𝑏𝑥))].

Dive into calculus with this step-by-step guide on differentiating the function y=[𝑡𝑎𝑛^(−1)⁡((𝑎+𝑏𝑥)/(𝑎−𝑏𝑥))]. Learn how to use trigonometric identities and the chain rule to find the derivative efficiently. Perfect for students and math enthusiasts looking to enhance their understanding of advanced calculus concepts.
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