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Find the indicated derivatives of the following functions. No need to simplify.a. Find f'(x) where...

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Calculus

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Find the indicated derivatives of the following functions. No need to simplify.a. Find f'(x) where f(x) = arctan (1 + ?x)b. Find dy/dx where y is implicit defined by sin(2yx) sec (y^2) x = arctan (?)c. Find f'(x) where f(x) = {(1 + x^2)^1/x} + (That's (1 + x^2) raised to the power 1/x)d. Find {d^(47)y} / {dx^(47)} | x=2 (the 47th derivative of y with respect to x at x=2) where y = ln (1 + 2x)

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