Graphical Interpretation of Differentiability

Q.

Say True or False Every Continuous Function Is Differentiable.

1. True
2. False

Q.

Draw the graph of each of the following constant functions:

(i) $f\left(x\right)=2$ for all $xϵR$

(ii) $f\left(x\right)=0$ for all $xϵR$

(iii) $f\left(x\right)=-2$ for all $xϵR$

Q. The graph of the function should be continuous smooth curve for the function to be differentiable

1. True
2. False

Q.

is every continuous function differentiable?