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d/dx (1+logx)/(1-logx)...

`d/dx (1+logx)/(1-logx)`

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Obtain the differential coefficient of the following: (logx)/(1+logx)

(d)/(dx)((1+cotx)/(1-cotx))

Differentiate the following w.r.t. x : (logx)^(logx),xgt1

STATEMENT-1 : intx^(x)(1+logx)dx=x^(x)+C and STATEMENT-2 : (d)/(dx)x^(x)=x^(x)(1+logx)

Differentiate w.r.t. x the function in (logx)^(logx),xgt1 .

Differentiate each of the following w.r.t. x : (i) sin (logx), x gt0 (ii) log(logx), xgt1

(d)/(dx)((cosx)/(1+sinx))=

(d)/(dx)((sinx)/(1+cosx))=

int[1/logx-1/(logx)^2]dx= (A) x/logx (B) xlogx (C) logx/x (D) none of these

d/(dx)tan^-1((1-x)/(1+x))=