求(1+x^2)·ln(x+√(1+x^2))的导数,不急,对了才好.
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求(1+x^2)·ln(x+√(1+x^2))的导数,不急,对了才好.求(1+x^2)·ln(x+√(1+x^2))的导数,不急,对了才好.求(1+x^2)·ln(x+√(1+x^2))的导数,不急,
求(1+x^2)·ln(x+√(1+x^2))的导数,不急,对了才好.
求(1+x^2)·ln(x+√(1+x^2))的导数,不急,对了才好.
求(1+x^2)·ln(x+√(1+x^2))的导数,不急,对了才好.
[(1+x^2)·ln(x+√(1+x^2))]'
=(1+x^2)'ln(x+√(1+x^2))+(1+x^2)ln(x+√(1+x^2))'
=2xln(x+√(1+x^2))+√(1+x^2)
注意:ln(x+√(1+x^2))'=1/√(1+x^2)
(1+x²)[1+x/√(1+x²)]/[x+√(1+x²)]+2xln[x+√(1+x²)]
=[1+x²+x√(1+x²)]/[x+√(1+x²)]+2xln[x+√(1+x²)]你做的不对吧,问题是求复合函数的导数。f(x)=1+x^2
g(x)=ln[x+√(1+x²)]
f·...
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(1+x²)[1+x/√(1+x²)]/[x+√(1+x²)]+2xln[x+√(1+x²)]
=[1+x²+x√(1+x²)]/[x+√(1+x²)]+2xln[x+√(1+x²)]
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