对函数y=ln[cos(arctan(sinx))]求导最后答案是-sinxcosx/(1+sinx^2)

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对函数y=ln[cos(arctan(sinx))]求导最后答案是-sinxcosx/(1+sinx^2)对函数y=ln[cos(arctan(sinx))]求导最后答案是-sinxcosx/(1+s

对函数y=ln[cos(arctan(sinx))]求导最后答案是-sinxcosx/(1+sinx^2)
对函数y=ln[cos(arctan(sinx))]求导
最后答案是-sinxcosx/(1+sinx^2)

对函数y=ln[cos(arctan(sinx))]求导最后答案是-sinxcosx/(1+sinx^2)
y=f{g[h(p(x))]}
y'=f'(g)g'(h)h'(p)p'(x)
y'=1/cos(arctan(sinx)) *(-sin(arctan(sinx))*cosx/(1+sinx^2)
= -tan(arctan(sinx))*cosx/(1+sinx^2)
=-sinxcosx/(1+sinx^2)