[" (c) Show that the functions "f(x)=x sin((1)/(x))*x!=0;f(0)=0," is not "],[" defferentioble at "x=0" ."]

Show that the functions f (x) = x ^(3) sin ((1)/(x)) for x ne 0, f (0) =0 is differentiable at x =0.

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

The function f(x)=x^(2)"sin"(1)/(x) , xne0,f(0)=0 at x=0

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

Show that the function f(x)={x sin((1)/(x)) when x!=0;=0, when x=0 is continuous butnot differentiable at x=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 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),ifx!=0 0,ifx=0 is differentiable at x=0 and f^(prime)(0)=0

Show that the function f(x) given by f(x)={xsin1/x ,x!=0 0,x=0

Show that the function f(x) =x sub (1)/(x) , x ne 0 f(0) =0 is continuous at x = 0