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sin平方x的导数

=2sinx。(sin²x)' = 2sinx(sinx)' = 2sinxcosx = sin2x 或: (sin²x)' = [(1-cos2x)/2]' = [1/2 - (cos2x)/2]' = 0 - ½(-sin2x)(2x)' = ½(sin2x)×2 = sin2x。

导数不一样: y=sin^2x y'=2sinxcosx=sin2x 而y=sinx^2 y'=cosx^2*2x=2xcosx^2.

[(sinx)^2]' =2sinx(sinx)' =2sinxcosx =sin2x (sin2x)' =cos2x(2x)' =2cos2x

cos2x=1- 2sin²x sin²x=(1-cos2x)/2 sin²x导数=-1/2*(-sin2x) =1/2*sin2x

y=sin²x y'=2sinx·(sinx)' =2sinxcosx =sin2x

(sin²x)' = 2sinx(sinx)'  = 2sinxcosx  = sin2x 或: (sin²x)' = [(1-cos2x)/2]'  = [1/2 - (cos2x)/2]'  = 0 - ½(-sin2x)(2x)'  = ½(sin2x)×2  = sin2x

(sin²x)' = 2sinx * cosx = sin2x

f[g(x)]=sin(2x),则设g(x)=2x,令g(x)=2x=u,则f(u)=sin(u) 所以f'[g(x)]=[sin(u)]'*(2x)'=2cos(u),再用2x代替u,得f'[g(x)]=2cos(2x).

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