求导f(x)=(t²+1)² / 4t随便把导数f '(x)化为[(t²+1)(√3t+1)(√3t-1)]/4t²t>0

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求导f(x)=(t²+1)² / 4t随便把导数f '(x)化为[(t²+1)(√3t+1)(√3t-1)]/4t&sup2t>0

求导f(x)=(t²+1)² / 4t随便把导数f '(x)化为[(t²+1)(√3t+1)(√3t-1)]/4t²t>0
求导f(x)=(t²+1)² / 4t
随便把导数f '(x)化为[(t²+1)(√3t+1)(√3t-1)]/4t²
t>0

求导f(x)=(t²+1)² / 4t随便把导数f '(x)化为[(t²+1)(√3t+1)(√3t-1)]/4t²t>0
很明确告诉你 这样写题目是错的f'=0,原因很简单,式子中没有x的表达式!做题仔细些
求导:f(t)
分式型的导数=(分子导数x分母-分母导数x分子)/分母²
f'(t)=[2(t²+1)x2tx4t-4x(t²+1)²]/16t²=[4(t²+1)xt²-(t²+1)²]/4t²
=[(t²+1)x(4t²-t²-1)]/4t²(提公因式t²+1)
=[(t²+1)x(3t²-1)]/4t²(3t²-1按平方差公式展开)
=[(t²+1)(√3t+1)(√3t-1)]/4t²