[1]-[7] Find the derivatives y' = f(x) of the given functions. Simplify result if possible. [1] f(x) = (x2 - 1)*(2x2 + 5); factor result. [2] y = 3x13-1 x 2/3 +2 [3] f(x) = 2xesx - In' x [4] x3 + 2x y* = 4y + 5; use implicit differentiation. [5] f(x) = sin 5 (/ x4) [6] y = e 4x ( x3 + 7) ; use logarithmic differentiation. x2 . V6x -1 [7] y = ( arc tan Vx ) 3x