> 数学 >
y=tan(x+y) 求y的导数?
一道大数数学题.它的答案是-csc^2(x+y) 请问它是怎么来的?
人气:324 ℃ 时间:2020-05-02 03:26:40
解答
y=tan(x+y)y'=tan'(x+y)=[sec(x+y)]^2*(1+y')y'=[sec(x+y)]^2/{1-[sec(x+y)]^2}分子=1/[cos(x+y)]^2分母=1-1/[cos(x+y)]^2=-[tan(x+y)]^2=-[sin(x+y)]^2/[cos(x+y)]^2y'=-1/[sin(x+y)]^2=-[csc(x+y)]^2
推荐
猜你喜欢
© 2024 79432.Com All Rights Reserved.
电脑版|手机版