求导,求微分.不定积分.求导或微分1:y=e^xlnx2:e^y-y^2+sinx=03:y=sinxcosx求不定积分1:∫(ln/x)dx∫(xsinx)dx∫(x^2/(1+x^2))dx求极限1:lim(1+2x)^1/xx→∞2:lim(x^2-1)/(x-1)x→13:lim(√(x+1)-√x)最后一条求证题啊?若x>1
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![求导,求微分.不定积分.求导或微分1:y=e^xlnx2:e^y-y^2+sinx=03:y=sinxcosx求不定积分1:∫(ln/x)dx∫(xsinx)dx∫(x^2/(1+x^2))dx求极限1:lim(1+2x)^1/xx→∞2:lim(x^2-1)/(x-1)x→13:lim(√(x+1)-√x)最后一条求证题啊?若x>1](/uploads/image/z/13909173-69-3.jpg?t=%E6%B1%82%E5%AF%BC%2C%E6%B1%82%E5%BE%AE%E5%88%86.%E4%B8%8D%E5%AE%9A%E7%A7%AF%E5%88%86.%E6%B1%82%E5%AF%BC%E6%88%96%E5%BE%AE%E5%88%861%EF%BC%9Ay%3De%5Exlnx2%3Ae%5Ey-y%5E2%2Bsinx%3D03%3Ay%3Dsinxcosx%E6%B1%82%E4%B8%8D%E5%AE%9A%E7%A7%AF%E5%88%861%3A%E2%88%AB%28ln%2Fx%29dx%E2%88%AB%28xsinx%29dx%E2%88%AB%28x%5E2%2F%281%2Bx%5E2%29%29dx%E6%B1%82%E6%9E%81%E9%99%901%EF%BC%9Alim%281%2B2x%29%5E1%2Fxx%E2%86%92%E2%88%9E2%3Alim%28x%5E2-1%29%2F%28x-1%29x%E2%86%9213%3Alim%28%E2%88%9A%28x%2B1%29-%E2%88%9Ax%29%E6%9C%80%E5%90%8E%E4%B8%80%E6%9D%A1%E6%B1%82%E8%AF%81%E9%A2%98%E5%95%8A%3F%E8%8B%A5x%3E1)
求导,求微分.不定积分.求导或微分1:y=e^xlnx2:e^y-y^2+sinx=03:y=sinxcosx求不定积分1:∫(ln/x)dx∫(xsinx)dx∫(x^2/(1+x^2))dx求极限1:lim(1+2x)^1/xx→∞2:lim(x^2-1)/(x-1)x→13:lim(√(x+1)-√x)最后一条求证题啊?若x>1
求导,求微分.不定积分.
求导或微分
1:y=e^xlnx
2:e^y-y^2+sinx=0
3:y=sinxcosx
求不定积分
1:∫(ln/x)dx
∫(xsinx)dx
∫(x^2/(1+x^2))dx
求极限
1:lim(1+2x)^1/x
x→∞
2:lim(x^2-1)/(x-1)
x→1
3:lim(√(x+1)-√x)
最后一条求证题啊?
若x>1,求证e^x-ex
最后一条求证题啊?
若x>1,求证e^x>ex
求导,求微分.不定积分.求导或微分1:y=e^xlnx2:e^y-y^2+sinx=03:y=sinxcosx求不定积分1:∫(ln/x)dx∫(xsinx)dx∫(x^2/(1+x^2))dx求极限1:lim(1+2x)^1/xx→∞2:lim(x^2-1)/(x-1)x→13:lim(√(x+1)-√x)最后一条求证题啊?若x>1
1:dy=e^xlnx(lnx +1)dx 2:e^y×y'-2yy'+cosx=0所以y'=cosx\(e^x +2y) 3:y=sinxcosx=0.5sin2x所以y'=cos2x 4:∫lnx/xdx=∫lnxdlnx=(lnx)^2+c 5:∫xsinxdx=∫-xdcosx=-xcosx+∫cosxdx=-xcosx+sinx+c 6:∫x^2/1+x^2dx=∫1-1/1+x^2dx=∫1dx-∫1/1+x^2dx=x+arctanx+c 7:lim(x->∞)(1+2x)^1/x=((1+2x)^1\2x)^2=e^2 8:lim(x->1)(x^2-1)/(x-1)=(x+1)(x-1)/(x-1)=1+1=2 最后两道题我没看懂你要我证什么