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(1) dy = y'dx = [2x^(-2)]'dx = -4x^(-3) dx = -4dx/x^3
(2) dy = y'dx = [-e^(-x)cosx + e^(-x)(-sinx)]dx = -e^(-x)(cosx+sinx)dx
(3) dy = y'dx = [(√x)'/(1-x)]dx = {(1/(2√x)]/(1-x)}dx = dx/[2(1-x)√x]
(4) dy = y'dx = 2[e^x+e^(-x)][e^x-e^(-x)]dx = 2[e^(2x)-e^(-2x)]dx
(5) 定义域 (1-x^3) > 0, 则 y = (1/2)ln(1-x^3)
dy = y'dx = [(1/2)(1-x^3)'/(1-x^3)]dx = [(-3/2)x^2/(1-x^3)]dx
(6) dy = y'dx = 3(1+x-x^2)^2 (1-2x)dx
(2) dy = y'dx = [-e^(-x)cosx + e^(-x)(-sinx)]dx = -e^(-x)(cosx+sinx)dx
(3) dy = y'dx = [(√x)'/(1-x)]dx = {(1/(2√x)]/(1-x)}dx = dx/[2(1-x)√x]
(4) dy = y'dx = 2[e^x+e^(-x)][e^x-e^(-x)]dx = 2[e^(2x)-e^(-2x)]dx
(5) 定义域 (1-x^3) > 0, 则 y = (1/2)ln(1-x^3)
dy = y'dx = [(1/2)(1-x^3)'/(1-x^3)]dx = [(-3/2)x^2/(1-x^3)]dx
(6) dy = y'dx = 3(1+x-x^2)^2 (1-2x)dx
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