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3. Find the indicated derivatives of the following functions without inte- grating. Make sure to fully justify your work! (a Let x > 1. Define

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3. Find the indicated derivatives of the following functions without inte- grating. Make sure to fully justify your work! (a Let x > 1. Define F(x) =/ xvt + sin(t) dt; F'(x) 1 - +2 (b) Define g(x) = 1 + t4 dt; g'(x) 1 3x+1 (c) Define y = cos(t4) dt; y" (x) 2x

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