Discuss monotonocity of `f(x)=x/(sinx)a n d` `g(x)= x / (tanx), w h e r e

If f(x)=x/(sinx)a n dg(x)=x/(tanx),w h e r e0ltxlt=1, then in this interval

Discuss the differentiability of f(x)=e^(-|x|)

Discuss the monotonocity of function f(x)=2log|x-1|-x^2+2x+3.

Discuss the differentiability of f(x)=|(log)_e|x||

Discuss the differentiability of f(x)=[x]+|1-x|, x in (-1,3),w h e r e[dot] represents greatest integer function.

If f(x)=|x-2|a n dg(x)=f[f(x)],t h e ng^(prime)(x)= ______ for x>2

Suppose f(x)=a x+ba n dg(x)=b x+a ,w h e r eaa n db are positive integers. If f(g(20))-g(f(20))=28 , then which of the following is not true? a=15 b. a=6 c. b=14 d. b=3

If d is the minimum distance between the curves f(x)=e^x a n dg(x)=(log)_e x , then the value of d^6 is

If f(x)=(x+1)/(x-1)a n dg(x)=1/(x-2),t h e n discuss the continuity of f(x),g(x),a n dfog(x)dot

The number of solution of equation sin^(-1)x+nsin^(-1)(1-x)=(mpi)/2,w h e r e n >0,m<=0, is 3 (b) 1 (c) 2 (d) None of these