f(x)={[x*sin((1)/(x)),,x!=0],[0,,x=0]

Let f,g:R rarr R be two function diffinite f(x)={x sin((1)/(x)),x!=0; and 0,x=0 and g(x)=xf(x)

Show that the function f(x)={x^(m)sin((1)/(x))0,x!=0,x=0 is differentiable at x=0 if m>1 continuous but not differentiable at x=0, if 0.

Let f(x)={x^(p)sin((1)/(x)),x!=0 and 0,x=0 and A and B are two sets such that A and B are continuous anddifferential of f(x) at x=0 respectively then find A nn B.

Show that the function f(x)={((x^2sin(1/x),if,x!=0),(0,if,x=0)) is differentiable at x=0 and f'(0)=0

Show that the function f(x)={((x^2sin(1/x),if,x!=0),(0,if,x=0)) is differentiable at x=0 and f'(0)=0

Show that function f(x) given by f(x)={(x sin(1/x),,,x ne 0),(0,,,x=0):} is continuous at x=0

Consider the function f(x)={(x^2sin(1/x),x!=0),(0,x=0):} Find Rf'(0) and Lf'(0).

If f(x)={x sin((1)/(x)) for x!=0,0 for x=0. Then

The set of all points of differentiability of the function f(x)={(x^2 sin (1/x), x!=0), (0,x=0):} is

The set of all points of differentiability of the function f(x)={(x^2 sin (1/x), x!=0), (0,x=0):} is