请问对f(t)求导的话，要怎么做，谢谢

请问对f(t)求导的话，要怎么做，谢谢如图

推荐答案 2018-08-30

f(t) = ∫<0, t> sinxdx - (sint/t^2)∫<0, t>x^2dx + ∫<t, π/2>sinxdx - sint∫<t, π/2>dx
= ∫<0, π/2>sinxdx - (sint/t^2)∫<0, t>x^2dx - (π/2-t)sint
f'(t) = 0 - [(tcost-2sint)/t^3]∫<0, t>x^2dx - sint + sint - (π/2-t)cost
= - (π/2-t)cost - [(tcost-2sint)/t^3]∫<0, t>x^2dx

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高数,求导,问一下:f'(t)是怎么算出来的,麻烦写一下步骤,谢谢!答：首先，[√(1+t²)]'=[(1+t²)^(1/2)]'=1/2·(1+t²)^(-1/2)·(1+t²)'=t/√(1+t²)所以，f'(t)=ln[t+√(1+t²)]+t·{ln[t+√(1+t²)]}'-t/√(1+t²)=ln[t+√(1+t²)]+t/[t+√(1+t²)]...