作业帮a的x次方 求导过程不懂
来源：学生作业帮 编辑：拍题作业网作业帮 分类：数学作业 时间：2024/04/28 06:38:37
a的x次方 求导过程不懂
怎样由1变到2的求过程
复合函数中的链式法则
ƒ(g(x))对x求导得ƒ'(g(x)) • g'(x)
或dy/dx = dy/du • du/dx
在这里,e^(xlna),令ƒ(u) = e^u,u = g(x) = xlna
ƒ'(u) = e^u,g'(x) = lna
则[ƒ(g(x))]' = ƒ'(u) • g'(x) = e^u • lna = e^(xlna) • lna = a^x • lna
或
令y = e^u,u = xlna
则dy/du = e^u,du/dx = lna
所以dy/dx = dy/du • du/dx = e^u • lna = e^(xlna) • lna = a^x • lna
ƒ(g(x))对x求导得ƒ'(g(x)) • g'(x)
或dy/dx = dy/du • du/dx
在这里,e^(xlna),令ƒ(u) = e^u,u = g(x) = xlna
ƒ'(u) = e^u,g'(x) = lna
则[ƒ(g(x))]' = ƒ'(u) • g'(x) = e^u • lna = e^(xlna) • lna = a^x • lna
或
令y = e^u,u = xlna
则dy/du = e^u,du/dx = lna
所以dy/dx = dy/du • du/dx = e^u • lna = e^(xlna) • lna = a^x • lna