arctan(e^x-1)^1/2=π/3求xtanπ/3我都忘了…^后的代表幂…是二分之一次方

求y=e^(arctan(x^1/2))的导数 5.lim(e^x^2) －1/arctan x-0 求y=e^arctan(1/x)的导数 求下列不定积分 ∫(arctan e^x)/(e^2x)dx(-1/2)[e^-(2x)*arctane^x+arctane^x+e^(-x)]+C我的解法是：原式= ∫(arctan e^x)/(e^x)d(1/e^x)令1/e^x=t = ∫(arctan 1/t)/t dt= (-1/2) ∫(arctan 1/t) d(t^2)= (-1/2) [(t^2)(arctan 1/t) - ∫(t^2)d(a cos[arctan(1/2) - arctan(-2)]=? 考研数学三：arctan函数问题如图画蓝线部分,arctan(e^x)+arctan[e^(-x)]=π/2怎么算的? 求证：arctan 1/2+arctan 1/5+arctan 1/8=π/4 y=arctan（x^2+1） ∫(0→1) arctan(e^x)/e^x dx 求f(x)=e^(1/x^2)arctan[x^2/(x^2/-x-2)]的水平渐近线 曲线y=e^(x^(-2))arctan((x+1)/(x-1))的水平和垂直渐近线分别是? 求极限x→∞,[e^(1/x)-1]/arctan^2(2/x) arctan(1/x)求导 x^2+y^2=e^(arctan（y/x）),求dy/dx令F(x,y)=x^2+y^2-e^arctan(y/x)=0对x求偏导 Fx = 2x-e^arctan(y/x) * 1/[1+(y/x)^2] * [-y/(x^2)]=2x + y/(x^2+y^2) * e^arctan(y/x)然后e^arctan(y/x)用题目中的x^2+y^2代替 就可以把即Fx=2x+y对y求偏导 求导y=arctan[2x/(1-x^2)] 急等 求导 Y=ARCTAN x/1+x^2 arctan(((2X)/(1-X))^2)导数 求定积分.(e^arctan x)/[(x^2+1)^(3/2)]的原函数