Is the sentence true or false?

If f is a differentiable function at x=a, then f is continuous at x=a.

Can we say that continuity guarantees differentiability?

Determine whether function(x)=3x² is:

Determine whether function f(x)={-2x,x<0 x+1,x ≥0} is:

Which one of the following function is continuous but not differentiable at the point x=0 ?

Determine whether function f(x)={-x,x<0,x ≥0} is:

Which one of the following function is continuous and differentiable at the points, x=0 and x=1 ?

 Which one of the following functions is continuous but not differentiable on R?

Is the sentence true or false?

If f is a continuous function at x=a, then f is differentiable at x=a.

Which one of the following function is continuous but not differentiable at the point x=1 ?