Q16Multiple correct4 Marks24 Mar 2024

Choose the set of correct options.

A

If a function is continuous at a particular point, then the function is differentiable at that point.

B

If a function is differentiable at a particular point, then the function must be continuous at that point.

C

If $f(x)$ is differentiable at the point $a$, then $cf(x)$ is differentiable at the point $a$, for all $c\in\mathbb{R}$, and $(cf)'(a)=cf'(a)$.

D

If $f(x)$ and $g(x)$ are differentiable functions, then $|(f+g)(x)|$ is also a differentiable function.