Which of the following function is not differentiable at x=1?

The points at which the function f(x)=(x+1)⁄(x²+x−12) is discontinuous, are

In order that the functionf(x)=(x+1)^1/xis continuous at x=0, f(0)must be defined as

If f(x)=e^1/x, when x≠0 & f(x)=0, when x=0, then

Let f(x)=x²+k, when x≥0 & f(x)=−x²−k, when x<0. If the function f(x) be continuous at x=0, then k =

Let f(x)= (x³+x²−16x+20)⁄(x−2)² ,if x≠2 & f(x)= k, if x=2. If f(x) be continuous for all x, then k =

The function f(x)=[log(1+ax)−log(1−bx)]/x is not defined at x=0. The value which should be assigned to f at x =0 so that it is continuos at x=0, is

If the function f(x)= (kcosx)/(π−2x),when x≠π/2 & f(x)=3, when x=π/2 be continuous at x=π/2, then k =

A point where function f(x)=[sin[x]] is not continuous in (0,2π), [.] denotes the greatest integer ≤x, is

limx→0 (x³cotx)/(1−cosx)

limx→1 1/|1−x|=

If f(x)=|x|, then f(x) is

The function f(x)=sin|x| is

(d/dx)(sin⁻¹x)

(d/dx)(cos⁻¹x)

(d/dx)(tan⁻¹x)

(d/dx)(cot⁻¹x)

(d/dx)(sec⁻¹x)

(d/dx)(cosec⁻¹x)

(d/dx)(eⁿ)=

(d/dx)(logx)=

Differentiate w.r.t. x, log₇(log x)

Find the second order derivatives of the functions sin (log x)

Find the second order derivatives of the functions x²+2x+3

Find the second order derivatives of the functions log x