y=e^√x^2+1求导
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y=e^√x^2+1求导
![y=e^√x^2+1求导](/uploads/image/z/318624-24-4.jpg?t=y%3De%5E%E2%88%9Ax%5E2%2B1%E6%B1%82%E5%AF%BC)
解
y=e^√x²+1
y‘=(e^√x²+1)'
=e^√x²+1(√x²+1)'(x²+1)
=e^√x²+1[1/2(x²+1)^(-1/2)]×2x
=(xe^√x²+1)/(√x²+1)
再问: y=cosln(1+3x)求导这个呢 谢谢
再答: y'=cosln(1+3x)' =-sinln(1+3x)[ln(1+3x)]'(1+3x)' =-3sinln(1+3x)[1/(1+3x)] =[-3sinln(1+3x)]/(1+3x)
y=e^√x²+1
y‘=(e^√x²+1)'
=e^√x²+1(√x²+1)'(x²+1)
=e^√x²+1[1/2(x²+1)^(-1/2)]×2x
=(xe^√x²+1)/(√x²+1)
再问: y=cosln(1+3x)求导这个呢 谢谢
再答: y'=cosln(1+3x)' =-sinln(1+3x)[ln(1+3x)]'(1+3x)' =-3sinln(1+3x)[1/(1+3x)] =[-3sinln(1+3x)]/(1+3x)