解析 sin²3x'=2sin3xsin3x'=6sin3xcos3x 6sin3xcos3x'=18cos²3x-18sin²3x 所以二阶导数18(cos²3x-sin²3x)f(sin²3x)
y=f(sin^2(3x))y'=f'(sin^2(3x))(2sin(3x)cos(3x)(3)=3sin(6x)f'(sin^2(3x))y''=9sin^2(6x)f''(sin^2(3x))+18cos(6x)f'(sin^2(3x))