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

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

f(x)=(x)/(sinx ) and g(x)=(x)/(tanx) , where 0 lt x le 1 then in the interval

Statement 1: f(x)=cos x is continous at x=0a n dg(x)=[tanx],"w h e r e"[dot] represents greatest integer function, is discontinuous at x=0,t h e nh(x)=f(x)dotg(x) is discontinuous at x=0. Statement 2: If f(x) is continous and g(x) is discontinuous at x=a ,t h e nh(x)=f(x)g(x) is discontinuous at x=a

Find the following function is differentiable at a given point or not? f(x)=[x\ sinpix]a t\ x=0,\ w h e r e\ [x] denotes the greatest integer less than or equal to x .

Discuss the differentiability of f(x)=|log_(e)|x||

Discuss the differentiability of f(x)={(x-e)2^(-2((1)/(e-x)))),x!= eat x=e and 0,x=e

y=e^(sinx)+(tanx)^(x)

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

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

Separate the intervals of monotonocity for the function f(x)=x^(2)e^(-x)