Let `f(x)=|x|` and `g(x)=|x^3|,` then
(a)`f(x)a n dg(x)` both are continuous at `x=0`
(b)`f(x)a n dg(x)` both are differentiable at `x=0`
(c)`f(x)` is differentiable but `g(x)` is not differentiable at `x=0`
(d)`f(x)` and `g(x)` both are not differentiable at `x=0`

Explanation

To solve the problem, we need to analyze the functions \( f(x) = |x| \) and \( g(x) = |x^3| \) at \( x = 0 \) for continuity and differentiability.

### Step 1: Check Continuity of \( f(x) \) and \( g(x) \) at \( x = 0 \)

1. **Evaluate \( f(0) \)**:
\[ f(0) = |0| = 0 \]
...