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Let y be a function of x. Find y'(x). Leave your answers unsimplified. (a) y = arcsin(arctan (2a7x)), a € R (b) y =(√2) (c) y = X esecx+cos et I

Let $y$ be a function of $x$. Find $y_{′}(x)$. Leave your answers unsimplified. (a) $y=arcsin(arctan(2aπx)),a∈R$ (b) $y=(x )_{x}$ (c) $y=xe_{secx}+cose_{x} $

(a). given that the function is defined as

Differentiate both sides of the equation.

The derivative of with respect to is .

Differentiate the right side of the equation.

Reform the equation by setting the left side equal to the right side.

Replace with .

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