求f(x)=e的x的2次方的20阶导数.即y=(e)^(x^2)
问题描述:
求f(x)=e的x的2次方的20阶导数.即y=(e)^(x^2)
答
1048576*e^(x^2)*x^20*ln(e)^20+99614720*e^(x^2)*x^18*ln(e)^19+3810263040*e^(x^2)*x^16*ln(e)^18+76205260800*e^(x^2)*x^14*ln(e)^17+866834841600*e^(x^2)*x^12*ln(e)^16+5721109954560*e^(x^2)*x^10*ln(e)^15+21454162329600*e^(x^2)*x^8*ln(e)^14+42908324659200*e^(x^2)*x^6*ln(e)^13+40226554368000*e^(x^2)*x^4*ln(e)^12+13408851456000*e^(x^2)*x^2*ln(e)^11+670442572800*e^(x^2)*ln(e)^10