jwbf.net
当前位置:首页 >> 2sin 求导 >>

2sin 求导

[(sin5x)^2]' =2(sin5x)*(sin5x)' =2(sin5x)*(cos5x)*(5x)' =2(sin5x)*(cos5x)*5 =5(sin10x)

16xcos(4x²)

cos x y =-2sin =sin x ,故 y ′=cos x .

y = 2sin²(x) y'= 4sin(x)cos(x) = 2sin(2x)

1/4{sin(2x)}^2 ’ =1/4×2sin(2x)×sin(2x)’ =1/4×2sin(2x)×cos(2x)×2 =sin(2x)×cos(2x) =1/2 sin(4x)

y=x^2. sin(1/x) y' = 2x.sin(1/x) +x^2. cos(1/x) .(-1/x^2) = 2x.sin(1/x) - cos(1/x)

f(x)=sinx,(f(x+Δx)-f(x))/Δx=(sin(x+Δx)-sinx)=2cos(x+Δx/2)sin(Δx/2)/Δx= cos(x+Δx/2)sin(Δx/2)/(Δx/2)所以f'(x)=(sinx)'=lim(Δx→0)(f(x+Δx)-f(x))/Δx=cos(x+Δx/2)sin(Δx/2)/(Δx/2)=cosx 其中lim(Δx→0)s...

复合函数求导!

导数=2sin(1/x)*cos(1/x)*(-1/x²) = - {sin(2/x)}/x²

[sin^3(wt)]' =3sin^2(wt)·cos(wt)·w =3w sin^2(wt)cos(wt) 这是一个复合函数求导: f(g(u(x)))对x求导的结果是:f'(g)g'(u)u'(x) 在这里,u(x)=wx,g(u)=sinu,f(g)=g^3

网站首页 | 网站地图
All rights reserved Powered by www.jwbf.net
copyright ©right 2010-2021。
内容来自网络,如有侵犯请联系客服。zhit325@qq.com