$\frac{d}{dx}[{\tan }^{-1}\left[(\sec x-\tan x)\right]=$

If x=t*logt" and "y=t^(t)," then: "(dy)/(dx)=

If 2x=y^(1//n)," then: "x^(2)(y(1))^(2)=

If y=x^(2)+1" and "u=sqrt(1+x^(2))," then: "(dy)/(dx)=

If y=sqrt(cos2x)," then: "yy(2)+2y^(2)=

If x=(t+1)/(t),y=(t-1)/(t)," then: "(dy)/(dx)=

If d/dx\ ((1+x^2+x^4)/(1+x+x^2)) = ax+b, then (a, b) =

If cos x =1/sqrt(1+t^(2)), and sin y = t/sqrt(1+t^(2)), then (dy)/(dx)...

If y=(x^(1/3)-x^(-1/3))then (dy)/(dx) is

If y=(e^(4logx)-e^(3logx))/(e^(2logx)-e^(logx))," then: "(dy)/(dx)=

If y=cos^(2)[tan^(-1)sqrt((1-x)/(1+x)))] then dy/dx=

d/(dx)[sin^(- 1)(x-(4x^3)/27)]= 4x327dx

(d)/(dx)(sec^(2)x*csc^(2)x)=

If y=log((1)/(1-x))," then: "(dy)/(dx)-1=

If y=4^(log2(sinx))+9^(log3(cosx)," then "(log2(log3)y(1)=

If y=cos((1)/(2)cos^(-1)x)," then "(dx)/(dy)=

If y=(1+x^(1/4))(1+x^(1/2))(1-x^(1/4)) , then find (dy)/(dx)dot

If x^(2)=1+cosy," then: "(dy)/(dx)=

Defferential coefficient of x^(x)w.r.t.x*logx is

If x=sqrt(y+sqrt(y+sqrt(y+..."to"oo)))," then: "(dy)/(dx)=

If 3x^(2)+4xy-5y^(2)=0," then: "(dy)/(dx)=