" ION "5" Show that the function "f(x)=a^(x),0

Show that the function f(x)={x^msin(1/x), x=0 ,0 ,\ \ \ x!=0 ,\ \ \ \ \ \ \x=0 is differentiable at x=0 , if m >1

Show that the function 'f(x)=a^(^^)x,backslash0

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)/(1+e^(1//x),x ne 0, f(0)= 0 is continuous at x = 0

Show that the function f(x) ={{:( (7x+5)",","when" x ge 0), (( 5-3x)",", "when", x lt 0):} is a continuous function.

Show that the function f(x)={:{(3+x", " xge0),(3-x", " x lt 0):} is not differentiable at x=0

Show that the function f(x)={:{(3+x", " xge0),(3-x", " x lt 0):} is not differentiable at x=0

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