If `y=x^(tanx)+sqrt((x^2+1)/2)` , find `(dy)/(dx)`

Explanation

To find the derivative \( \frac{dy}{dx} \) for the function

\[ y = x^{\tan x} + \sqrt{\frac{x^2 + 1}{2}}, \]

we will differentiate each part of the function step by step.

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