tanx2求导

惠浩灵981y=(tan x)^x 用对数求导法求函数的导数 -
阎彬宁15142564087 ______[答案] y = (tanx)^x lny = xlntanx (1/y)y' = lntanx + x(secx)^2/tanx = lntanx + x/(sinxcosx) y' =[lntanx + x/(sinxcosx) ].(tanx)^x

惠浩灵981什么函数的导数是tan^2x? -
阎彬宁15142564087 ______ tan^2x=sin^2x/cos^2x =(1-cos^2x)/cos^2x =1/cos^2-1 (tanx-x)'=1/cos^2-1 所以tanx-x的导数是tan^2x

惠浩灵981什么函数的导数是tan^2x? -
阎彬宁15142564087 ______[答案] tan^2x=sin^2x/cos^2x =(1-cos^2x)/cos^2x =1/cos^2-1 (tanx-x)'=1/cos^2-1 所以tanx-x的导数是tan^2x

惠浩灵981y=tanX的二次导数是多少 -
阎彬宁15142564087 ______[答案] =tanx=sinx/cosx =[(sinx)'cosx-sinx(cosx)']/(cosx)^2 =[(cosx)^2+(sinx)^2]/(cosx)^2 =1/(cosx)^2 =(secx)^2

惠浩灵981y=根号tan*x/2 求导数 -
阎彬宁15142564087 ______[答案] 根号tan*x/2求导=1/2(1/根号tan*x/2)*(sec*x/2)*1/2 =1/(4sin*x/2)

惠浩灵981y=Intan(X/2)求导 -
阎彬宁15142564087 ______ y=lntan(x/2) y'=[1/tan(x/2)]*[tan(x/2)]' =[1/tan(x/2)]*sec²(x/2)*(x/2)' =[1/tan(x/2)]*sec²(x/2)*(1/2) =1/[tan(x/2)*cos²(x/2)*2] =1/[2sin(x/2)*cos(x/2)] =1/sinx

惠浩灵981TAN(2X)可以推倒成什么公式? -
阎彬宁15142564087 ______ tan(2x)=2tanx/(1-tan²x)

惠浩灵981求导数y=arctan(2tanx/2) -
阎彬宁15142564087 ______[答案] y'=1/[1+(2tanx/2)²]*(2tanx/2)'=1/[1+(2tanx/2)²]*2sec²(x/2)*(x/2)'=1/[1+(2tanx/2)²]*sec²(x/2)=1/cos²(x/2)*1/[1+4sin²(x/2)/cos²(x/2)]=1/[cos²(x/2)+4sin²...

惠浩灵981y=lntan^2x,求y的导数 -
阎彬宁15142564087 ______[答案] 函数为 y=lntan²x,此为复合函数.参考复合函数的链式求导法则有:y'= 1/tan²x * (tan²x)'=1/tan²x * (2*tanx) * (tanx)'=1/tan²x * (2*tanx) * sec²x=2/tanx * 1/cos²x=2cosx/sin...

惠浩灵981y=㏑tan二分之一x 求导 -
阎彬宁15142564087 ______[答案] y'=1/tan(x/2)*[tan(x/2)]' =1/tan(x/2)*sec²(x/2)*(x/2)' =cos(x/2)/sin(x/2)*1/cos²(x/2)*1/2 =1/[2sin(x/2)cos(x/2)] =1/sinx =cscx