Let f(x) `=x^(3)-3x +2.` Examine the monotonicity of function at points x=0.1,2

Examine the continuity of function f(x)=|x|,x 2 at each of points 1,2,3

Examine the continuity of the function f(x)= 2x + 3 " at " x=1

Examine the continuity of the function f(x)= x^(3) + 2x^(2)-1 " at " x=1

Let f(x)=x^(3)-3x^(2)+3x+4, comment on the monotonic behaviour of f(x) at x=0x=1

Let f(x)=x^3-3x^2+ 3x + 4 , comment on the monotonic behaviour of f(x) at x=0 x=1

Find intervals of monotonicity of function : f(x)=(|x-1|)/(x^(2))

Examine the continuity of the function f(x) = {:{(3x-2,xle0),(x+1,x>0):} at x = 0

Given f(x)={x^(2)-2x+3 for x 1 Examine the continuity and differentiability of the function f(x) at x=1

Find the interval of monotonicity of the function f(x) = |x - 1| //x^(2) .

If f(x)=x^(3)+4x^(2)+lambdax+1 is a monotonically decreasing function of x in the largest possible interval (-2,-2//3) . Then