再求x=1处的曲率k:solve({k=2/((1+1/x^4)^3/2(abs(x))^3),x=1})
先求一阶导数:deriv(2sin(t), t)/deriv(cos(t), t)
再求二阶导数:deriv((-2)cot(t), t)/deriv(cos(t), t)
求曲率表达式:abs((-2)(csc(t))^3)/(1+((-2)cot(t))^2)^3/2
求t=pi/2时的曲率:solve({K=2/((abs(sin(t)))^3(4(cot(t))^2+1)^3/2),t=pi/2})
先求一阶导数:deriv(a*sin(t)^3, t)/deriv(a*cos(t)^3, t)
再求二阶导数:deriv(-tan(t), t)/deriv(a(cos(t))^3, t)
求曲率表达式:abs(csc(t)(sec(t))^4/(3a))/(1+(-tan(t))^2)^3/2
返回:微软数学软件目录
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